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Finding the Fourth Proportional to 42,301.76, 63,409.44 and 14,576

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Solution

The fourth proportional to 42,301.76, 63,409.44 and 14,576 is: 21,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,301.76 : 63,409.44 = 14,576 : x
  2. Step 2: Convert to fraction form
    42,301.76/63,409.44 = 14,576/x
  3. Step 3: Cross multiply
    42,301.76x = 63,409.44 × 14,576
  4. Step 4: Simplify right side
    42,301.76x = 924,255,997.44
  5. Step 5: Solve for x
    x = 924,255,997.44/42,301.76
  6. Step 6: Final answer
    x = 21,849.11

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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.