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Finding the Fourth Proportional to 54,524.84, 75,251.01 and 30,651

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Solution

The fourth proportional to 54,524.84, 75,251.01 and 30,651 is: 42,302.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,524.84 : 75,251.01 = 30,651 : x
  2. Step 2: Convert to fraction form
    54,524.84/75,251.01 = 30,651/x
  3. Step 3: Cross multiply
    54,524.84x = 75,251.01 × 30,651
  4. Step 4: Simplify right side
    54,524.84x = 2,306,518,707.51
  5. Step 5: Solve for x
    x = 2,306,518,707.51/54,524.84
  6. Step 6: Final answer
    x = 42,302.17

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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.