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Finding the Fourth Proportional to 34,691.84, 47,895.36 and 22,776

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Solution

The fourth proportional to 34,691.84, 47,895.36 and 22,776 is: 31,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,691.84 : 47,895.36 = 22,776 : x
  2. Step 2: Convert to fraction form
    34,691.84/47,895.36 = 22,776/x
  3. Step 3: Cross multiply
    34,691.84x = 47,895.36 × 22,776
  4. Step 4: Simplify right side
    34,691.84x = 1,090,864,719.36
  5. Step 5: Solve for x
    x = 1,090,864,719.36/34,691.84
  6. Step 6: Final answer
    x = 31,444.42

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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.