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Finding the Fourth Proportional to 70,005.48, 96,605.46 and 38,175

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Solution

The fourth proportional to 70,005.48, 96,605.46 and 38,175 is: 52,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,005.48 : 96,605.46 = 38,175 : x
  2. Step 2: Convert to fraction form
    70,005.48/96,605.46 = 38,175/x
  3. Step 3: Cross multiply
    70,005.48x = 96,605.46 × 38,175
  4. Step 4: Simplify right side
    70,005.48x = 3,687,913,435.50
  5. Step 5: Solve for x
    x = 3,687,913,435.50/70,005.48
  6. Step 6: Final answer
    x = 52,680.35

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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.