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Finding the Fourth Proportional to 30,640.64, 45,937.88 and 15,650

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Solution

The fourth proportional to 30,640.64, 45,937.88 and 15,650 is: 23,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.64 : 45,937.88 = 15,650 : x
  2. Step 2: Convert to fraction form
    30,640.64/45,937.88 = 15,650/x
  3. Step 3: Cross multiply
    30,640.64x = 45,937.88 × 15,650
  4. Step 4: Simplify right side
    30,640.64x = 718,927,822
  5. Step 5: Solve for x
    x = 718,927,822/30,640.64
  6. Step 6: Final answer
    x = 23,463.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.