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Finding the Fourth Proportional to 55,823.82, 77,049.05 and 34,332.05

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Solution

The fourth proportional to 55,823.82, 77,049.05 and 34,332.05 is: 47,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,823.82 : 77,049.05 = 34,332.05 : x
  2. Step 2: Convert to fraction form
    55,823.82/77,049.05 = 34,332.05/x
  3. Step 3: Cross multiply
    55,823.82x = 77,049.05 × 34,332.05
  4. Step 4: Simplify right side
    55,823.82x = 2,645,251,424.61
  5. Step 5: Solve for x
    x = 2,645,251,424.61/55,823.82
  6. Step 6: Final answer
    x = 47,385.71

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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.