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Finding the Fourth Proportional to 42,854.60, 59,111.16 and 32,784.68

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Solution

The fourth proportional to 42,854.60, 59,111.16 and 32,784.68 is: 45,221.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,854.60 : 59,111.16 = 32,784.68 : x
  2. Step 2: Convert to fraction form
    42,854.60/59,111.16 = 32,784.68/x
  3. Step 3: Cross multiply
    42,854.60x = 59,111.16 × 32,784.68
  4. Step 4: Simplify right side
    42,854.60x = 1,937,940,465.03
  5. Step 5: Solve for x
    x = 1,937,940,465.03/42,854.60
  6. Step 6: Final answer
    x = 45,221.29

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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.