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Finding the Fourth Proportional to 47,478, 65,520.72 and 30,740.16

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Solution

The fourth proportional to 47,478, 65,520.72 and 30,740.16 is: 42,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,478 : 65,520.72 = 30,740.16 : x
  2. Step 2: Convert to fraction form
    47,478/65,520.72 = 30,740.16/x
  3. Step 3: Cross multiply
    47,478x = 65,520.72 × 30,740.16
  4. Step 4: Simplify right side
    47,478x = 2,014,117,416.12
  5. Step 5: Solve for x
    x = 2,014,117,416.12/47,478
  6. Step 6: Final answer
    x = 42,422.12

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