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Finding the Fourth Proportional to 70,854.96, 97,784.27 and 39,023.85

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Solution

The fourth proportional to 70,854.96, 97,784.27 and 39,023.85 is: 53,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854.96 : 97,784.27 = 39,023.85 : x
  2. Step 2: Convert to fraction form
    70,854.96/97,784.27 = 39,023.85/x
  3. Step 3: Cross multiply
    70,854.96x = 97,784.27 × 39,023.85
  4. Step 4: Simplify right side
    70,854.96x = 3,815,918,782.40
  5. Step 5: Solve for x
    x = 3,815,918,782.40/70,854.96
  6. Step 6: Final answer
    x = 53,855.35

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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.