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Finding the Fourth Proportional to 38,632.48, 57,945.84 and 12,340

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Solution

The fourth proportional to 38,632.48, 57,945.84 and 12,340 is: 18,509.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,632.48 : 57,945.84 = 12,340 : x
  2. Step 2: Convert to fraction form
    38,632.48/57,945.84 = 12,340/x
  3. Step 3: Cross multiply
    38,632.48x = 57,945.84 × 12,340
  4. Step 4: Simplify right side
    38,632.48x = 715,051,665.60
  5. Step 5: Solve for x
    x = 715,051,665.60/38,632.48
  6. Step 6: Final answer
    x = 18,509.08

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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.