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Finding the Fourth Proportional to 121,798.48, 182,697.80 and 33,052

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Solution

The fourth proportional to 121,798.48, 182,697.80 and 33,052 is: 49,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,798.48 : 182,697.80 = 33,052 : x
  2. Step 2: Convert to fraction form
    121,798.48/182,697.80 = 33,052/x
  3. Step 3: Cross multiply
    121,798.48x = 182,697.80 × 33,052
  4. Step 4: Simplify right side
    121,798.48x = 6,038,527,685.60
  5. Step 5: Solve for x
    x = 6,038,527,685.60/121,798.48
  6. Step 6: Final answer
    x = 49,578.02

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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.