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Finding the Fourth Proportional to 29,688, 44,541.12 and 12,159.24

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Solution

The fourth proportional to 29,688, 44,541.12 and 12,159.24 is: 18,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,688 : 44,541.12 = 12,159.24 : x
  2. Step 2: Convert to fraction form
    29,688/44,541.12 = 12,159.24/x
  3. Step 3: Cross multiply
    29,688x = 44,541.12 × 12,159.24
  4. Step 4: Simplify right side
    29,688x = 541,586,167.95
  5. Step 5: Solve for x
    x = 541,586,167.95/29,688
  6. Step 6: Final answer
    x = 18,242.60

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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.