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Finding the Fourth Proportional to 54,524, 75,242.48 and 30,654.72

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Solution

The fourth proportional to 54,524, 75,242.48 and 30,654.72 is: 42,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,524 : 75,242.48 = 30,654.72 : x
  2. Step 2: Convert to fraction form
    54,524/75,242.48 = 30,654.72/x
  3. Step 3: Cross multiply
    54,524x = 75,242.48 × 30,654.72
  4. Step 4: Simplify right side
    54,524x = 2,306,537,156.51
  5. Step 5: Solve for x
    x = 2,306,537,156.51/54,524
  6. Step 6: Final answer
    x = 42,303.15

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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.