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Finding the Fourth Proportional to 42,957.68, 59,284.32 and 24,097.64

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Solution

The fourth proportional to 42,957.68, 59,284.32 and 24,097.64 is: 33,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,957.68 : 59,284.32 = 24,097.64 : x
  2. Step 2: Convert to fraction form
    42,957.68/59,284.32 = 24,097.64/x
  3. Step 3: Cross multiply
    42,957.68x = 59,284.32 × 24,097.64
  4. Step 4: Simplify right side
    42,957.68x = 1,428,612,201.00
  5. Step 5: Solve for x
    x = 1,428,612,201.00/42,957.68
  6. Step 6: Final answer
    x = 33,256.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.