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Finding the Fourth Proportional to 70,907.46, 97,851.04 and 38,642.36

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Solution

The fourth proportional to 70,907.46, 97,851.04 and 38,642.36 is: 53,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,907.46 : 97,851.04 = 38,642.36 : x
  2. Step 2: Convert to fraction form
    70,907.46/97,851.04 = 38,642.36/x
  3. Step 3: Cross multiply
    70,907.46x = 97,851.04 × 38,642.36
  4. Step 4: Simplify right side
    70,907.46x = 3,781,195,114.05
  5. Step 5: Solve for x
    x = 3,781,195,114.05/70,907.46
  6. Step 6: Final answer
    x = 53,325.77

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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.