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Finding the Fourth Proportional to 70,856.64, 97,782.05 and 39,025.13

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Solution

The fourth proportional to 70,856.64, 97,782.05 and 39,025.13 is: 53,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,856.64 : 97,782.05 = 39,025.13 : x
  2. Step 2: Convert to fraction form
    70,856.64/97,782.05 = 39,025.13/x
  3. Step 3: Cross multiply
    70,856.64x = 97,782.05 × 39,025.13
  4. Step 4: Simplify right side
    70,856.64x = 3,815,956,821.57
  5. Step 5: Solve for x
    x = 3,815,956,821.57/70,856.64
  6. Step 6: Final answer
    x = 53,854.61

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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.