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Finding the Fourth Proportional to 70,854.97, 97,782.23 and 38,590.84

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Solution

The fourth proportional to 70,854.97, 97,782.23 and 38,590.84 is: 53,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,854.97 : 97,782.23 = 38,590.84 : x
  2. Step 2: Convert to fraction form
    70,854.97/97,782.23 = 38,590.84/x
  3. Step 3: Cross multiply
    70,854.97x = 97,782.23 × 38,590.84
  4. Step 4: Simplify right side
    70,854.97x = 3,773,498,392.77
  5. Step 5: Solve for x
    x = 3,773,498,392.77/70,854.97
  6. Step 6: Final answer
    x = 53,256.65

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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.