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Finding the Fourth Proportional to 38,074, 52,534.83 and 24,643.39

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Solution

The fourth proportional to 38,074, 52,534.83 and 24,643.39 is: 34,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,074 : 52,534.83 = 24,643.39 : x
  2. Step 2: Convert to fraction form
    38,074/52,534.83 = 24,643.39/x
  3. Step 3: Cross multiply
    38,074x = 52,534.83 × 24,643.39
  4. Step 4: Simplify right side
    38,074x = 1,294,636,304.27
  5. Step 5: Solve for x
    x = 1,294,636,304.27/38,074
  6. Step 6: Final answer
    x = 34,003.16

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1.5x scale

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.