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Finding the Fourth Proportional to 97,259, 134,217.42 and 52,547

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Solution

The fourth proportional to 97,259, 134,217.42 and 52,547 is: 72,514.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,259 : 134,217.42 = 52,547 : x
  2. Step 2: Convert to fraction form
    97,259/134,217.42 = 52,547/x
  3. Step 3: Cross multiply
    97,259x = 134,217.42 × 52,547
  4. Step 4: Simplify right side
    97,259x = 7,052,722,768.74
  5. Step 5: Solve for x
    x = 7,052,722,768.74/97,259
  6. Step 6: Final answer
    x = 72,514.86

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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.