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Finding the Fourth Proportional to 47,068, 64,950.60 and 25,842.88

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Solution

The fourth proportional to 47,068, 64,950.60 and 25,842.88 is: 35,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,068 : 64,950.60 = 25,842.88 : x
  2. Step 2: Convert to fraction form
    47,068/64,950.60 = 25,842.88/x
  3. Step 3: Cross multiply
    47,068x = 64,950.60 × 25,842.88
  4. Step 4: Simplify right side
    47,068x = 1,678,510,561.73
  5. Step 5: Solve for x
    x = 1,678,510,561.73/47,068
  6. Step 6: Final answer
    x = 35,661.40

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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.