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Finding the Fourth Proportional to 91,675.60, 137,516.64 and 29,338

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Solution

The fourth proportional to 91,675.60, 137,516.64 and 29,338 is: 44,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,675.60 : 137,516.64 = 29,338 : x
  2. Step 2: Convert to fraction form
    91,675.60/137,516.64 = 29,338/x
  3. Step 3: Cross multiply
    91,675.60x = 137,516.64 × 29,338
  4. Step 4: Simplify right side
    91,675.60x = 4,034,463,184.32
  5. Step 5: Solve for x
    x = 4,034,463,184.32/91,675.60
  6. Step 6: Final answer
    x = 44,008.04

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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.