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Finding the Fourth Proportional to 97,652.40, 146,543.40 and 55,532.40

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Solution

The fourth proportional to 97,652.40, 146,543.40 and 55,532.40 is: 83,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,652.40 : 146,543.40 = 55,532.40 : x
  2. Step 2: Convert to fraction form
    97,652.40/146,543.40 = 55,532.40/x
  3. Step 3: Cross multiply
    97,652.40x = 146,543.40 × 55,532.40
  4. Step 4: Simplify right side
    97,652.40x = 8,137,906,706.16
  5. Step 5: Solve for x
    x = 8,137,906,706.16/97,652.40
  6. Step 6: Final answer
    x = 83,335.45

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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.