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Finding the Fourth Proportional to 76,109.88, 105,027.91 and 42,117.76

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Solution

The fourth proportional to 76,109.88, 105,027.91 and 42,117.76 is: 58,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,109.88 : 105,027.91 = 42,117.76 : x
  2. Step 2: Convert to fraction form
    76,109.88/105,027.91 = 42,117.76/x
  3. Step 3: Cross multiply
    76,109.88x = 105,027.91 × 42,117.76
  4. Step 4: Simplify right side
    76,109.88x = 4,423,540,306.68
  5. Step 5: Solve for x
    x = 4,423,540,306.68/76,109.88
  6. Step 6: Final answer
    x = 58,120.45

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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.