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Finding the Fourth Proportional to 47,110, 64,967.14 and 30,948.88

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Solution

The fourth proportional to 47,110, 64,967.14 and 30,948.88 is: 42,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,110 : 64,967.14 = 30,948.88 : x
  2. Step 2: Convert to fraction form
    47,110/64,967.14 = 30,948.88/x
  3. Step 3: Cross multiply
    47,110x = 64,967.14 × 30,948.88
  4. Step 4: Simplify right side
    47,110x = 2,010,660,219.80
  5. Step 5: Solve for x
    x = 2,010,660,219.80/47,110
  6. Step 6: Final answer
    x = 42,680.12

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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.