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Finding the Fourth Proportional to 32,012.30, 48,018.47 and 12,280.10

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Solution

The fourth proportional to 32,012.30, 48,018.47 and 12,280.10 is: 18,420.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.30 : 48,018.47 = 12,280.10 : x
  2. Step 2: Convert to fraction form
    32,012.30/48,018.47 = 12,280.10/x
  3. Step 3: Cross multiply
    32,012.30x = 48,018.47 × 12,280.10
  4. Step 4: Simplify right side
    32,012.30x = 589,671,311.95
  5. Step 5: Solve for x
    x = 589,671,311.95/32,012.30
  6. Step 6: Final answer
    x = 18,420.15

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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.