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Finding the Fourth Proportional to 32,648.96, 45,074.07 and 24,977.80

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Solution

The fourth proportional to 32,648.96, 45,074.07 and 24,977.80 is: 34,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.96 : 45,074.07 = 24,977.80 : x
  2. Step 2: Convert to fraction form
    32,648.96/45,074.07 = 24,977.80/x
  3. Step 3: Cross multiply
    32,648.96x = 45,074.07 × 24,977.80
  4. Step 4: Simplify right side
    32,648.96x = 1,125,851,280.84
  5. Step 5: Solve for x
    x = 1,125,851,280.84/32,648.96
  6. Step 6: Final answer
    x = 34,483.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.