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Finding the Fourth Proportional to 69,713.84, 96,203.16 and 37,881.68

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Solution

The fourth proportional to 69,713.84, 96,203.16 and 37,881.68 is: 52,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,713.84 : 96,203.16 = 37,881.68 : x
  2. Step 2: Convert to fraction form
    69,713.84/96,203.16 = 37,881.68/x
  3. Step 3: Cross multiply
    69,713.84x = 96,203.16 × 37,881.68
  4. Step 4: Simplify right side
    69,713.84x = 3,644,337,322.11
  5. Step 5: Solve for x
    x = 3,644,337,322.11/69,713.84
  6. Step 6: Final answer
    x = 52,275.66

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1.5x scale

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.