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Finding the Fourth Proportional to 32,741.50, 49,113.47 and 10,555.20

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Solution

The fourth proportional to 32,741.50, 49,113.47 and 10,555.20 is: 15,833.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,741.50 : 49,113.47 = 10,555.20 : x
  2. Step 2: Convert to fraction form
    32,741.50/49,113.47 = 10,555.20/x
  3. Step 3: Cross multiply
    32,741.50x = 49,113.47 × 10,555.20
  4. Step 4: Simplify right side
    32,741.50x = 518,402,498.54
  5. Step 5: Solve for x
    x = 518,402,498.54/32,741.50
  6. Step 6: Final answer
    x = 15,833.19

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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.