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Finding the Fourth Proportional to 32,024.77, 48,041.25 and 12,300.76

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Solution

The fourth proportional to 32,024.77, 48,041.25 and 12,300.76 is: 18,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,024.77 : 48,041.25 = 12,300.76 : x
  2. Step 2: Convert to fraction form
    32,024.77/48,041.25 = 12,300.76/x
  3. Step 3: Cross multiply
    32,024.77x = 48,041.25 × 12,300.76
  4. Step 4: Simplify right side
    32,024.77x = 590,943,969.47
  5. Step 5: Solve for x
    x = 590,943,969.47/32,024.77
  6. Step 6: Final answer
    x = 18,452.72

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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.