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Finding the Fourth Proportional to 121,673.34, 182,509.74 and 32,929.20

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Solution

The fourth proportional to 121,673.34, 182,509.74 and 32,929.20 is: 49,393.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,673.34 : 182,509.74 = 32,929.20 : x
  2. Step 2: Convert to fraction form
    121,673.34/182,509.74 = 32,929.20/x
  3. Step 3: Cross multiply
    121,673.34x = 182,509.74 × 32,929.20
  4. Step 4: Simplify right side
    121,673.34x = 6,009,899,730.41
  5. Step 5: Solve for x
    x = 6,009,899,730.41/121,673.34
  6. Step 6: Final answer
    x = 49,393.73

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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.