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Finding the Fourth Proportional to 34,702.84, 52,062.90 and 19,921.24

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Solution

The fourth proportional to 34,702.84, 52,062.90 and 19,921.24 is: 29,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.84 : 52,062.90 = 19,921.24 : x
  2. Step 2: Convert to fraction form
    34,702.84/52,062.90 = 19,921.24/x
  3. Step 3: Cross multiply
    34,702.84x = 52,062.90 × 19,921.24
  4. Step 4: Simplify right side
    34,702.84x = 1,037,157,526.00
  5. Step 5: Solve for x
    x = 1,037,157,526.00/34,702.84
  6. Step 6: Final answer
    x = 29,886.82

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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.