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Finding the Fourth Proportional to 96,702.80, 133,452.16 and 54,264.47

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Solution

The fourth proportional to 96,702.80, 133,452.16 and 54,264.47 is: 74,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,702.80 : 133,452.16 = 54,264.47 : x
  2. Step 2: Convert to fraction form
    96,702.80/133,452.16 = 54,264.47/x
  3. Step 3: Cross multiply
    96,702.80x = 133,452.16 × 54,264.47
  4. Step 4: Simplify right side
    96,702.80x = 7,241,709,929.83
  5. Step 5: Solve for x
    x = 7,241,709,929.83/96,702.80
  6. Step 6: Final answer
    x = 74,886.25

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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.