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Finding the Fourth Proportional to 38,039.42, 52,476.70 and 24,615

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Solution

The fourth proportional to 38,039.42, 52,476.70 and 24,615 is: 33,957.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,039.42 : 52,476.70 = 24,615 : x
  2. Step 2: Convert to fraction form
    38,039.42/52,476.70 = 24,615/x
  3. Step 3: Cross multiply
    38,039.42x = 52,476.70 × 24,615
  4. Step 4: Simplify right side
    38,039.42x = 1,291,713,970.50
  5. Step 5: Solve for x
    x = 1,291,713,970.50/38,039.42
  6. Step 6: Final answer
    x = 33,957.25

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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.