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Finding the Fourth Proportional to 66,505.97, 99,702.77 and 30,948.93

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Solution

The fourth proportional to 66,505.97, 99,702.77 and 30,948.93 is: 46,397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,505.97 : 99,702.77 = 30,948.93 : x
  2. Step 2: Convert to fraction form
    66,505.97/99,702.77 = 30,948.93/x
  3. Step 3: Cross multiply
    66,505.97x = 99,702.77 × 30,948.93
  4. Step 4: Simplify right side
    66,505.97x = 3,085,693,894.79
  5. Step 5: Solve for x
    x = 3,085,693,894.79/66,505.97
  6. Step 6: Final answer
    x = 46,397.25

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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.