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Finding the Fourth Proportional to 91,587.30, 137,420.46 and 49,459

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Solution

The fourth proportional to 91,587.30, 137,420.46 and 49,459 is: 74,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,587.30 : 137,420.46 = 49,459 : x
  2. Step 2: Convert to fraction form
    91,587.30/137,420.46 = 49,459/x
  3. Step 3: Cross multiply
    91,587.30x = 137,420.46 × 49,459
  4. Step 4: Simplify right side
    91,587.30x = 6,796,678,531.14
  5. Step 5: Solve for x
    x = 6,796,678,531.14/91,587.30
  6. Step 6: Final answer
    x = 74,209.84

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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.