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Finding the Fourth Proportional to 29,718.34, 44,581.67 and 9,729.40

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Solution

The fourth proportional to 29,718.34, 44,581.67 and 9,729.40 is: 14,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,718.34 : 44,581.67 = 9,729.40 : x
  2. Step 2: Convert to fraction form
    29,718.34/44,581.67 = 9,729.40/x
  3. Step 3: Cross multiply
    29,718.34x = 44,581.67 × 9,729.40
  4. Step 4: Simplify right side
    29,718.34x = 433,752,900.10
  5. Step 5: Solve for x
    x = 433,752,900.10/29,718.34
  6. Step 6: Final answer
    x = 14,595.46

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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.