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Finding the Fourth Proportional to 32,510.76, 48,766.14 and 12,798.60

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Solution

The fourth proportional to 32,510.76, 48,766.14 and 12,798.60 is: 19,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510.76 : 48,766.14 = 12,798.60 : x
  2. Step 2: Convert to fraction form
    32,510.76/48,766.14 = 12,798.60/x
  3. Step 3: Cross multiply
    32,510.76x = 48,766.14 × 12,798.60
  4. Step 4: Simplify right side
    32,510.76x = 624,138,319.40
  5. Step 5: Solve for x
    x = 624,138,319.40/32,510.76
  6. Step 6: Final answer
    x = 19,197.90

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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.