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Finding the Fourth Proportional to 121,106.95, 181,677.17 and 32,363.35

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Solution

The fourth proportional to 121,106.95, 181,677.17 and 32,363.35 is: 48,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,106.95 : 181,677.17 = 32,363.35 : x
  2. Step 2: Convert to fraction form
    121,106.95/181,677.17 = 32,363.35/x
  3. Step 3: Cross multiply
    121,106.95x = 181,677.17 × 32,363.35
  4. Step 4: Simplify right side
    121,106.95x = 5,879,681,839.72
  5. Step 5: Solve for x
    x = 5,879,681,839.72/121,106.95
  6. Step 6: Final answer
    x = 48,549.50

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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.