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Finding the Fourth Proportional to 52,131.60, 78,197.52 and 12,688.64

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Solution

The fourth proportional to 52,131.60, 78,197.52 and 12,688.64 is: 19,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,131.60 : 78,197.52 = 12,688.64 : x
  2. Step 2: Convert to fraction form
    52,131.60/78,197.52 = 12,688.64/x
  3. Step 3: Cross multiply
    52,131.60x = 78,197.52 × 12,688.64
  4. Step 4: Simplify right side
    52,131.60x = 992,220,180.17
  5. Step 5: Solve for x
    x = 992,220,180.17/52,131.60
  6. Step 6: Final answer
    x = 19,032.99

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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.