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Finding the Fourth Proportional to 54,567, 75,291.12 and 31,901.55

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Solution

The fourth proportional to 54,567, 75,291.12 and 31,901.55 is: 44,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,567 : 75,291.12 = 31,901.55 : x
  2. Step 2: Convert to fraction form
    54,567/75,291.12 = 31,901.55/x
  3. Step 3: Cross multiply
    54,567x = 75,291.12 × 31,901.55
  4. Step 4: Simplify right side
    54,567x = 2,401,903,146.89
  5. Step 5: Solve for x
    x = 2,401,903,146.89/54,567
  6. Step 6: Final answer
    x = 44,017.50

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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.