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Finding the Fourth Proportional to 92,892.30, 139,381.65 and 48,569.10

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Solution

The fourth proportional to 92,892.30, 139,381.65 and 48,569.10 is: 72,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,892.30 : 139,381.65 = 48,569.10 : x
  2. Step 2: Convert to fraction form
    92,892.30/139,381.65 = 48,569.10/x
  3. Step 3: Cross multiply
    92,892.30x = 139,381.65 × 48,569.10
  4. Step 4: Simplify right side
    92,892.30x = 6,769,641,297.02
  5. Step 5: Solve for x
    x = 6,769,641,297.02/92,892.30
  6. Step 6: Final answer
    x = 72,876.24

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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.