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Finding the Fourth Proportional to 89,762, 123,870.88 and 49,475.76

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Solution

The fourth proportional to 89,762, 123,870.88 and 49,475.76 is: 68,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,762 : 123,870.88 = 49,475.76 : x
  2. Step 2: Convert to fraction form
    89,762/123,870.88 = 49,475.76/x
  3. Step 3: Cross multiply
    89,762x = 123,870.88 × 49,475.76
  4. Step 4: Simplify right side
    89,762x = 6,128,605,929.87
  5. Step 5: Solve for x
    x = 6,128,605,929.87/89,762
  6. Step 6: Final answer
    x = 68,276.17

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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.