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Finding the Fourth Proportional to 97,049.71, 145,574.52 and 26,929

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Solution

The fourth proportional to 97,049.71, 145,574.52 and 26,929 is: 40,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,049.71 : 145,574.52 = 26,929 : x
  2. Step 2: Convert to fraction form
    97,049.71/145,574.52 = 26,929/x
  3. Step 3: Cross multiply
    97,049.71x = 145,574.52 × 26,929
  4. Step 4: Simplify right side
    97,049.71x = 3,920,176,249.08
  5. Step 5: Solve for x
    x = 3,920,176,249.08/97,049.71
  6. Step 6: Final answer
    x = 40,393.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.