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Finding the Fourth Proportional to 38,143, 52,637.70 and 21,147.76

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Solution

The fourth proportional to 38,143, 52,637.70 and 21,147.76 is: 29,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,143 : 52,637.70 = 21,147.76 : x
  2. Step 2: Convert to fraction form
    38,143/52,637.70 = 21,147.76/x
  3. Step 3: Cross multiply
    38,143x = 52,637.70 × 21,147.76
  4. Step 4: Simplify right side
    38,143x = 1,113,169,446.55
  5. Step 5: Solve for x
    x = 1,113,169,446.55/38,143
  6. Step 6: Final answer
    x = 29,184.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.