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Finding the Fourth Proportional to 32,287.95, 48,384.54 and 22,945.95

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Solution

The fourth proportional to 32,287.95, 48,384.54 and 22,945.95 is: 34,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,287.95 : 48,384.54 = 22,945.95 : x
  2. Step 2: Convert to fraction form
    32,287.95/48,384.54 = 22,945.95/x
  3. Step 3: Cross multiply
    32,287.95x = 48,384.54 × 22,945.95
  4. Step 4: Simplify right side
    32,287.95x = 1,110,229,235.61
  5. Step 5: Solve for x
    x = 1,110,229,235.61/32,287.95
  6. Step 6: Final answer
    x = 34,385.25

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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.