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Finding the Fourth Proportional to 34,442.16, 51,702.24 and 13,680.24

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Solution

The fourth proportional to 34,442.16, 51,702.24 and 13,680.24 is: 20,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,442.16 : 51,702.24 = 13,680.24 : x
  2. Step 2: Convert to fraction form
    34,442.16/51,702.24 = 13,680.24/x
  3. Step 3: Cross multiply
    34,442.16x = 51,702.24 × 13,680.24
  4. Step 4: Simplify right side
    34,442.16x = 707,299,051.74
  5. Step 5: Solve for x
    x = 707,299,051.74/34,442.16
  6. Step 6: Final answer
    x = 20,535.85

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1.5x scale

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.