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Finding the Fourth Proportional to 52,403.20, 72,305.18 and 31,178.32

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Solution

The fourth proportional to 52,403.20, 72,305.18 and 31,178.32 is: 43,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,403.20 : 72,305.18 = 31,178.32 : x
  2. Step 2: Convert to fraction form
    52,403.20/72,305.18 = 31,178.32/x
  3. Step 3: Cross multiply
    52,403.20x = 72,305.18 × 31,178.32
  4. Step 4: Simplify right side
    52,403.20x = 2,254,354,039.70
  5. Step 5: Solve for x
    x = 2,254,354,039.70/52,403.20
  6. Step 6: Final answer
    x = 43,019.40

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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.