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Finding the Fourth Proportional to 29,779.80, 44,702.10 and 16,657.80

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Solution

The fourth proportional to 29,779.80, 44,702.10 and 16,657.80 is: 25,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,779.80 : 44,702.10 = 16,657.80 : x
  2. Step 2: Convert to fraction form
    29,779.80/44,702.10 = 16,657.80/x
  3. Step 3: Cross multiply
    29,779.80x = 44,702.10 × 16,657.80
  4. Step 4: Simplify right side
    29,779.80x = 744,638,641.38
  5. Step 5: Solve for x
    x = 744,638,641.38/29,779.80
  6. Step 6: Final answer
    x = 25,004.82

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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.