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Finding the Fourth Proportional to 52,854.60, 72,942.72 and 34,918.14

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Solution

The fourth proportional to 52,854.60, 72,942.72 and 34,918.14 is: 48,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,854.60 : 72,942.72 = 34,918.14 : x
  2. Step 2: Convert to fraction form
    52,854.60/72,942.72 = 34,918.14/x
  3. Step 3: Cross multiply
    52,854.60x = 72,942.72 × 34,918.14
  4. Step 4: Simplify right side
    52,854.60x = 2,547,024,108.94
  5. Step 5: Solve for x
    x = 2,547,024,108.94/52,854.60
  6. Step 6: Final answer
    x = 48,189.26

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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.