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Finding the Fourth Proportional to 65,445.30, 98,088.59 and 29,857.87

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Solution

The fourth proportional to 65,445.30, 98,088.59 and 29,857.87 is: 44,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,445.30 : 98,088.59 = 29,857.87 : x
  2. Step 2: Convert to fraction form
    65,445.30/98,088.59 = 29,857.87/x
  3. Step 3: Cross multiply
    65,445.30x = 98,088.59 × 29,857.87
  4. Step 4: Simplify right side
    65,445.30x = 2,928,715,846.26
  5. Step 5: Solve for x
    x = 2,928,715,846.26/65,445.30
  6. Step 6: Final answer
    x = 44,750.59

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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.