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Finding the Fourth Proportional to 99,666.90, 149,529.15 and 29,547.90

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Solution

The fourth proportional to 99,666.90, 149,529.15 and 29,547.90 is: 44,330.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,666.90 : 149,529.15 = 29,547.90 : x
  2. Step 2: Convert to fraction form
    99,666.90/149,529.15 = 29,547.90/x
  3. Step 3: Cross multiply
    99,666.90x = 149,529.15 × 29,547.90
  4. Step 4: Simplify right side
    99,666.90x = 4,418,272,371.29
  5. Step 5: Solve for x
    x = 4,418,272,371.29/99,666.90
  6. Step 6: Final answer
    x = 44,330.39

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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.