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Finding the Fourth Proportional to 52,099.86, 78,148.71 and 12,657.18

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Solution

The fourth proportional to 52,099.86, 78,148.71 and 12,657.18 is: 18,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,099.86 : 78,148.71 = 12,657.18 : x
  2. Step 2: Convert to fraction form
    52,099.86/78,148.71 = 12,657.18/x
  3. Step 3: Cross multiply
    52,099.86x = 78,148.71 × 12,657.18
  4. Step 4: Simplify right side
    52,099.86x = 989,142,289.24
  5. Step 5: Solve for x
    x = 989,142,289.24/52,099.86
  6. Step 6: Final answer
    x = 18,985.51

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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.