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Finding the Fourth Proportional to 97,306.84, 145,960.26 and 23,434.84

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Solution

The fourth proportional to 97,306.84, 145,960.26 and 23,434.84 is: 35,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,306.84 : 145,960.26 = 23,434.84 : x
  2. Step 2: Convert to fraction form
    97,306.84/145,960.26 = 23,434.84/x
  3. Step 3: Cross multiply
    97,306.84x = 145,960.26 × 23,434.84
  4. Step 4: Simplify right side
    97,306.84x = 3,420,555,339.46
  5. Step 5: Solve for x
    x = 3,420,555,339.46/97,306.84
  6. Step 6: Final answer
    x = 35,152.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.