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Finding the Fourth Proportional to 70,422, 97,182.36 and 38,592.15

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Solution

The fourth proportional to 70,422, 97,182.36 and 38,592.15 is: 53,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422 : 97,182.36 = 38,592.15 : x
  2. Step 2: Convert to fraction form
    70,422/97,182.36 = 38,592.15/x
  3. Step 3: Cross multiply
    70,422x = 97,182.36 × 38,592.15
  4. Step 4: Simplify right side
    70,422x = 3,750,476,214.47
  5. Step 5: Solve for x
    x = 3,750,476,214.47/70,422
  6. Step 6: Final answer
    x = 53,257.17

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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.