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Finding the Fourth Proportional to 32,669.78, 49,009.01 and 10,475.78

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Solution

The fourth proportional to 32,669.78, 49,009.01 and 10,475.78 is: 15,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,669.78 : 49,009.01 = 10,475.78 : x
  2. Step 2: Convert to fraction form
    32,669.78/49,009.01 = 10,475.78/x
  3. Step 3: Cross multiply
    32,669.78x = 49,009.01 × 10,475.78
  4. Step 4: Simplify right side
    32,669.78x = 513,407,309.35
  5. Step 5: Solve for x
    x = 513,407,309.35/32,669.78
  6. Step 6: Final answer
    x = 15,715.05

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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.