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Finding the Fourth Proportional to 77,848.11, 107,438.32 and 47,653.38

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Solution

The fourth proportional to 77,848.11, 107,438.32 and 47,653.38 is: 65,766.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,848.11 : 107,438.32 = 47,653.38 : x
  2. Step 2: Convert to fraction form
    77,848.11/107,438.32 = 47,653.38/x
  3. Step 3: Cross multiply
    77,848.11x = 107,438.32 × 47,653.38
  4. Step 4: Simplify right side
    77,848.11x = 5,119,799,089.52
  5. Step 5: Solve for x
    x = 5,119,799,089.52/77,848.11
  6. Step 6: Final answer
    x = 65,766.52

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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.