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Finding the Fourth Proportional to 99,802, 149,727.66 and 29,681.02

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Solution

The fourth proportional to 99,802, 149,727.66 and 29,681.02 is: 44,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802 : 149,727.66 = 29,681.02 : x
  2. Step 2: Convert to fraction form
    99,802/149,727.66 = 29,681.02/x
  3. Step 3: Cross multiply
    99,802x = 149,727.66 × 29,681.02
  4. Step 4: Simplify right side
    99,802x = 4,444,069,671.01
  5. Step 5: Solve for x
    x = 4,444,069,671.01/99,802
  6. Step 6: Final answer
    x = 44,528.86

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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.