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Finding the Fourth Proportional to 32,967.60, 49,416.54 and 10,775.04

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Solution

The fourth proportional to 32,967.60, 49,416.54 and 10,775.04 is: 16,151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.60 : 49,416.54 = 10,775.04 : x
  2. Step 2: Convert to fraction form
    32,967.60/49,416.54 = 10,775.04/x
  3. Step 3: Cross multiply
    32,967.60x = 49,416.54 × 10,775.04
  4. Step 4: Simplify right side
    32,967.60x = 532,465,195.16
  5. Step 5: Solve for x
    x = 532,465,195.16/32,967.60
  6. Step 6: Final answer
    x = 16,151.17

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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.