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Finding the Fourth Proportional to 77,856.80, 107,447.24 and 45,157.86

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Solution

The fourth proportional to 77,856.80, 107,447.24 and 45,157.86 is: 62,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,856.80 : 107,447.24 = 45,157.86 : x
  2. Step 2: Convert to fraction form
    77,856.80/107,447.24 = 45,157.86/x
  3. Step 3: Cross multiply
    77,856.80x = 107,447.24 × 45,157.86
  4. Step 4: Simplify right side
    77,856.80x = 4,852,087,534.20
  5. Step 5: Solve for x
    x = 4,852,087,534.20/77,856.80
  6. Step 6: Final answer
    x = 62,320.67

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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.