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Finding the Fourth Proportional to 41,280, 56,966.40 and 22,417.28

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Solution

The fourth proportional to 41,280, 56,966.40 and 22,417.28 is: 30,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,280 : 56,966.40 = 22,417.28 : x
  2. Step 2: Convert to fraction form
    41,280/56,966.40 = 22,417.28/x
  3. Step 3: Cross multiply
    41,280x = 56,966.40 × 22,417.28
  4. Step 4: Simplify right side
    41,280x = 1,277,031,739.39
  5. Step 5: Solve for x
    x = 1,277,031,739.39/41,280
  6. Step 6: Final answer
    x = 30,935.85

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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.