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Finding the Fourth Proportional to 70,114.57, 96,758.04 and 38,283.46

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Solution

The fourth proportional to 70,114.57, 96,758.04 and 38,283.46 is: 52,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,114.57 : 96,758.04 = 38,283.46 : x
  2. Step 2: Convert to fraction form
    70,114.57/96,758.04 = 38,283.46/x
  3. Step 3: Cross multiply
    70,114.57x = 96,758.04 × 38,283.46
  4. Step 4: Simplify right side
    70,114.57x = 3,704,232,554.02
  5. Step 5: Solve for x
    x = 3,704,232,554.02/70,114.57
  6. Step 6: Final answer
    x = 52,831.14

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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.