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Finding the Fourth Proportional to 66,378.42, 91,531.89 and 42,506.10

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Solution

The fourth proportional to 66,378.42, 91,531.89 and 42,506.10 is: 58,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,378.42 : 91,531.89 = 42,506.10 : x
  2. Step 2: Convert to fraction form
    66,378.42/91,531.89 = 42,506.10/x
  3. Step 3: Cross multiply
    66,378.42x = 91,531.89 × 42,506.10
  4. Step 4: Simplify right side
    66,378.42x = 3,890,663,669.53
  5. Step 5: Solve for x
    x = 3,890,663,669.53/66,378.42
  6. Step 6: Final answer
    x = 58,613.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.