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Finding the Fourth Proportional to 97,594.24, 134,680.12 and 52,882.24

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Solution

The fourth proportional to 97,594.24, 134,680.12 and 52,882.24 is: 72,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,594.24 : 134,680.12 = 52,882.24 : x
  2. Step 2: Convert to fraction form
    97,594.24/134,680.12 = 52,882.24/x
  3. Step 3: Cross multiply
    97,594.24x = 134,680.12 × 52,882.24
  4. Step 4: Simplify right side
    97,594.24x = 7,122,186,429.07
  5. Step 5: Solve for x
    x = 7,122,186,429.07/97,594.24
  6. Step 6: Final answer
    x = 72,977.53

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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.