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Finding the Fourth Proportional to 99,716.58, 149,575.80 and 29,595.90

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Solution

The fourth proportional to 99,716.58, 149,575.80 and 29,595.90 is: 44,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,716.58 : 149,575.80 = 29,595.90 : x
  2. Step 2: Convert to fraction form
    99,716.58/149,575.80 = 29,595.90/x
  3. Step 3: Cross multiply
    99,716.58x = 149,575.80 × 29,595.90
  4. Step 4: Simplify right side
    99,716.58x = 4,426,830,419.22
  5. Step 5: Solve for x
    x = 4,426,830,419.22/99,716.58
  6. Step 6: Final answer
    x = 44,394.13

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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.