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Finding the Fourth Proportional to 32,702.01, 49,024.80 and 14,676.54

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Solution

The fourth proportional to 32,702.01, 49,024.80 and 14,676.54 is: 22,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.01 : 49,024.80 = 14,676.54 : x
  2. Step 2: Convert to fraction form
    32,702.01/49,024.80 = 14,676.54/x
  3. Step 3: Cross multiply
    32,702.01x = 49,024.80 × 14,676.54
  4. Step 4: Simplify right side
    32,702.01x = 719,514,438.19
  5. Step 5: Solve for x
    x = 719,514,438.19/32,702.01
  6. Step 6: Final answer
    x = 22,002.15

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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.