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Finding the Fourth Proportional to 29,762.64, 44,655.18 and 15,722.10

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Solution

The fourth proportional to 29,762.64, 44,655.18 and 15,722.10 is: 23,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.64 : 44,655.18 = 15,722.10 : x
  2. Step 2: Convert to fraction form
    29,762.64/44,655.18 = 15,722.10/x
  3. Step 3: Cross multiply
    29,762.64x = 44,655.18 × 15,722.10
  4. Step 4: Simplify right side
    29,762.64x = 702,073,205.48
  5. Step 5: Solve for x
    x = 702,073,205.48/29,762.64
  6. Step 6: Final answer
    x = 23,589.08

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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.