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Finding the Fourth Proportional to 70,853.32, 97,778.28 and 39,023.20

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Solution

The fourth proportional to 70,853.32, 97,778.28 and 39,023.20 is: 53,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853.32 : 97,778.28 = 39,023.20 : x
  2. Step 2: Convert to fraction form
    70,853.32/97,778.28 = 39,023.20/x
  3. Step 3: Cross multiply
    70,853.32x = 97,778.28 × 39,023.20
  4. Step 4: Simplify right side
    70,853.32x = 3,815,621,376.10
  5. Step 5: Solve for x
    x = 3,815,621,376.10/70,853.32
  6. Step 6: Final answer
    x = 53,852.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.