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Finding the Fourth Proportional to 64,002.12, 88,323.18 and 35,709

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Solution

The fourth proportional to 64,002.12, 88,323.18 and 35,709 is: 49,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,002.12 : 88,323.18 = 35,709 : x
  2. Step 2: Convert to fraction form
    64,002.12/88,323.18 = 35,709/x
  3. Step 3: Cross multiply
    64,002.12x = 88,323.18 × 35,709
  4. Step 4: Simplify right side
    64,002.12x = 3,153,932,434.62
  5. Step 5: Solve for x
    x = 3,153,932,434.62/64,002.12
  6. Step 6: Final answer
    x = 49,278.56

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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.