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Finding the Fourth Proportional to 32,661.76, 48,948.48 and 23,407.36

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Solution

The fourth proportional to 32,661.76, 48,948.48 and 23,407.36 is: 35,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,661.76 : 48,948.48 = 23,407.36 : x
  2. Step 2: Convert to fraction form
    32,661.76/48,948.48 = 23,407.36/x
  3. Step 3: Cross multiply
    32,661.76x = 48,948.48 × 23,407.36
  4. Step 4: Simplify right side
    32,661.76x = 1,145,754,692.81
  5. Step 5: Solve for x
    x = 1,145,754,692.81/32,661.76
  6. Step 6: Final answer
    x = 35,079.39

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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.