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Finding the Fourth Proportional to 32,648.80, 49,077.60 and 30,337.60

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Solution

The fourth proportional to 32,648.80, 49,077.60 and 30,337.60 is: 45,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.80 : 49,077.60 = 30,337.60 : x
  2. Step 2: Convert to fraction form
    32,648.80/49,077.60 = 30,337.60/x
  3. Step 3: Cross multiply
    32,648.80x = 49,077.60 × 30,337.60
  4. Step 4: Simplify right side
    32,648.80x = 1,488,896,597.76
  5. Step 5: Solve for x
    x = 1,488,896,597.76/32,648.80
  6. Step 6: Final answer
    x = 45,603.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.