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Finding the Fourth Proportional to 99,637.92, 149,484.22 and 49,657.68

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Solution

The fourth proportional to 99,637.92, 149,484.22 and 49,657.68 is: 74,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,637.92 : 149,484.22 = 49,657.68 : x
  2. Step 2: Convert to fraction form
    99,637.92/149,484.22 = 49,657.68/x
  3. Step 3: Cross multiply
    99,637.92x = 149,484.22 × 49,657.68
  4. Step 4: Simplify right side
    99,637.92x = 7,423,039,561.81
  5. Step 5: Solve for x
    x = 7,423,039,561.81/99,637.92
  6. Step 6: Final answer
    x = 74,500.15

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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.