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Finding the Fourth Proportional to 29,686.41, 44,534.48 and 14,098.77

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Solution

The fourth proportional to 29,686.41, 44,534.48 and 14,098.77 is: 21,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.41 : 44,534.48 = 14,098.77 : x
  2. Step 2: Convert to fraction form
    29,686.41/44,534.48 = 14,098.77/x
  3. Step 3: Cross multiply
    29,686.41x = 44,534.48 × 14,098.77
  4. Step 4: Simplify right side
    29,686.41x = 627,881,320.10
  5. Step 5: Solve for x
    x = 627,881,320.10/29,686.41
  6. Step 6: Final answer
    x = 21,150.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.