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Finding the Fourth Proportional to 41,264.88, 56,946.23 and 22,402

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Solution

The fourth proportional to 41,264.88, 56,946.23 and 22,402 is: 30,915.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,264.88 : 56,946.23 = 22,402 : x
  2. Step 2: Convert to fraction form
    41,264.88/56,946.23 = 22,402/x
  3. Step 3: Cross multiply
    41,264.88x = 56,946.23 × 22,402
  4. Step 4: Simplify right side
    41,264.88x = 1,275,709,444.46
  5. Step 5: Solve for x
    x = 1,275,709,444.46/41,264.88
  6. Step 6: Final answer
    x = 30,915.14

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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.