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Finding the Fourth Proportional to 32,742.50, 49,114.97 and 10,556.20

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Solution

The fourth proportional to 32,742.50, 49,114.97 and 10,556.20 is: 15,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742.50 : 49,114.97 = 10,556.20 : x
  2. Step 2: Convert to fraction form
    32,742.50/49,114.97 = 10,556.20/x
  3. Step 3: Cross multiply
    32,742.50x = 49,114.97 × 10,556.20
  4. Step 4: Simplify right side
    32,742.50x = 518,467,446.31
  5. Step 5: Solve for x
    x = 518,467,446.31/32,742.50
  6. Step 6: Final answer
    x = 15,834.69

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.