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Finding the Fourth Proportional to 70,678.62, 97,534.86 and 38,412.48

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Solution

The fourth proportional to 70,678.62, 97,534.86 and 38,412.48 is: 53,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,678.62 : 97,534.86 = 38,412.48 : x
  2. Step 2: Convert to fraction form
    70,678.62/97,534.86 = 38,412.48/x
  3. Step 3: Cross multiply
    70,678.62x = 97,534.86 × 38,412.48
  4. Step 4: Simplify right side
    70,678.62x = 3,746,555,859.05
  5. Step 5: Solve for x
    x = 3,746,555,859.05/70,678.62
  6. Step 6: Final answer
    x = 53,008.33

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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.