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Finding the Fourth Proportional to 47,478.24, 65,459.04 and 38,949.60

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Solution

The fourth proportional to 47,478.24, 65,459.04 and 38,949.60 is: 53,700.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,478.24 : 65,459.04 = 38,949.60 : x
  2. Step 2: Convert to fraction form
    47,478.24/65,459.04 = 38,949.60/x
  3. Step 3: Cross multiply
    47,478.24x = 65,459.04 × 38,949.60
  4. Step 4: Simplify right side
    47,478.24x = 2,549,603,424.38
  5. Step 5: Solve for x
    x = 2,549,603,424.38/47,478.24
  6. Step 6: Final answer
    x = 53,700.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.