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Finding the Fourth Proportional to 29,376.20, 44,071.98 and 9,657.80

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Solution

The fourth proportional to 29,376.20, 44,071.98 and 9,657.80 is: 14,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,376.20 : 44,071.98 = 9,657.80 : x
  2. Step 2: Convert to fraction form
    29,376.20/44,071.98 = 9,657.80/x
  3. Step 3: Cross multiply
    29,376.20x = 44,071.98 × 9,657.80
  4. Step 4: Simplify right side
    29,376.20x = 425,638,368.44
  5. Step 5: Solve for x
    x = 425,638,368.44/29,376.20
  6. Step 6: Final answer
    x = 14,489.22

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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.