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Finding the Fourth Proportional to 29,656.50, 44,495.10 and 14,862.12

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Solution

The fourth proportional to 29,656.50, 44,495.10 and 14,862.12 is: 22,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,656.50 : 44,495.10 = 14,862.12 : x
  2. Step 2: Convert to fraction form
    29,656.50/44,495.10 = 14,862.12/x
  3. Step 3: Cross multiply
    29,656.50x = 44,495.10 × 14,862.12
  4. Step 4: Simplify right side
    29,656.50x = 661,291,515.61
  5. Step 5: Solve for x
    x = 661,291,515.61/29,656.50
  6. Step 6: Final answer
    x = 22,298.37

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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.