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Finding the Fourth Proportional to 99,710.58, 149,566.80 and 29,589.90

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Solution

The fourth proportional to 99,710.58, 149,566.80 and 29,589.90 is: 44,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,710.58 : 149,566.80 = 29,589.90 : x
  2. Step 2: Convert to fraction form
    99,710.58/149,566.80 = 29,589.90/x
  3. Step 3: Cross multiply
    99,710.58x = 149,566.80 × 29,589.90
  4. Step 4: Simplify right side
    99,710.58x = 4,425,666,655.32
  5. Step 5: Solve for x
    x = 4,425,666,655.32/99,710.58
  6. Step 6: Final answer
    x = 44,385.13

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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.