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Finding the Fourth Proportional to 32,088.31, 48,114.85 and 9,895.53

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Solution

The fourth proportional to 32,088.31, 48,114.85 and 9,895.53 is: 14,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,088.31 : 48,114.85 = 9,895.53 : x
  2. Step 2: Convert to fraction form
    32,088.31/48,114.85 = 9,895.53/x
  3. Step 3: Cross multiply
    32,088.31x = 48,114.85 × 9,895.53
  4. Step 4: Simplify right side
    32,088.31x = 476,121,941.62
  5. Step 5: Solve for x
    x = 476,121,941.62/32,088.31
  6. Step 6: Final answer
    x = 14,837.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.