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Finding the Fourth Proportional to 78,027.52, 117,051 and 25,422.88

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Solution

The fourth proportional to 78,027.52, 117,051 and 25,422.88 is: 38,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,027.52 : 117,051 = 25,422.88 : x
  2. Step 2: Convert to fraction form
    78,027.52/117,051 = 25,422.88/x
  3. Step 3: Cross multiply
    78,027.52x = 117,051 × 25,422.88
  4. Step 4: Simplify right side
    78,027.52x = 2,975,773,526.88
  5. Step 5: Solve for x
    x = 2,975,773,526.88/78,027.52
  6. Step 6: Final answer
    x = 38,137.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.