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Finding the Fourth Proportional to 32,428, 48,614.16 and 11,365.12

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Solution

The fourth proportional to 32,428, 48,614.16 and 11,365.12 is: 17,037.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,428 : 48,614.16 = 11,365.12 : x
  2. Step 2: Convert to fraction form
    32,428/48,614.16 = 11,365.12/x
  3. Step 3: Cross multiply
    32,428x = 48,614.16 × 11,365.12
  4. Step 4: Simplify right side
    32,428x = 552,505,762.10
  5. Step 5: Solve for x
    x = 552,505,762.10/32,428
  6. Step 6: Final answer
    x = 17,037.92

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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.