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Finding the Fourth Proportional to 52,010.32, 71,748.84 and 30,781.84

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Solution

The fourth proportional to 52,010.32, 71,748.84 and 30,781.84 is: 42,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010.32 : 71,748.84 = 30,781.84 : x
  2. Step 2: Convert to fraction form
    52,010.32/71,748.84 = 30,781.84/x
  3. Step 3: Cross multiply
    52,010.32x = 71,748.84 × 30,781.84
  4. Step 4: Simplify right side
    52,010.32x = 2,208,561,313.07
  5. Step 5: Solve for x
    x = 2,208,561,313.07/52,010.32
  6. Step 6: Final answer
    x = 42,463.91

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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.