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Finding the Fourth Proportional to 121,148.47, 181,722.66 and 32,399.67

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Solution

The fourth proportional to 121,148.47, 181,722.66 and 32,399.67 is: 48,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,148.47 : 181,722.66 = 32,399.67 : x
  2. Step 2: Convert to fraction form
    121,148.47/181,722.66 = 32,399.67/x
  3. Step 3: Cross multiply
    121,148.47x = 181,722.66 × 32,399.67
  4. Step 4: Simplify right side
    121,148.47x = 5,887,754,537.76
  5. Step 5: Solve for x
    x = 5,887,754,537.76/121,148.47
  6. Step 6: Final answer
    x = 48,599.50

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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.