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Finding the Fourth Proportional to 70,011.36, 96,616.16 and 38,180

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Solution

The fourth proportional to 70,011.36, 96,616.16 and 38,180 is: 52,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,011.36 : 96,616.16 = 38,180 : x
  2. Step 2: Convert to fraction form
    70,011.36/96,616.16 = 38,180/x
  3. Step 3: Cross multiply
    70,011.36x = 96,616.16 × 38,180
  4. Step 4: Simplify right side
    70,011.36x = 3,688,804,988.80
  5. Step 5: Solve for x
    x = 3,688,804,988.80/70,011.36
  6. Step 6: Final answer
    x = 52,688.66

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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.