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Finding the Fourth Proportional to 70,152.38, 96,809.07 and 38,320.46

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Solution

The fourth proportional to 70,152.38, 96,809.07 and 38,320.46 is: 52,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152.38 : 96,809.07 = 38,320.46 : x
  2. Step 2: Convert to fraction form
    70,152.38/96,809.07 = 38,320.46/x
  3. Step 3: Cross multiply
    70,152.38x = 96,809.07 × 38,320.46
  4. Step 4: Simplify right side
    70,152.38x = 3,709,768,094.57
  5. Step 5: Solve for x
    x = 3,709,768,094.57/70,152.38
  6. Step 6: Final answer
    x = 52,881.57

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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.