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Finding the Fourth Proportional to 52,152.72, 78,210 and 18,864.80

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Solution

The fourth proportional to 52,152.72, 78,210 and 18,864.80 is: 28,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152.72 : 78,210 = 18,864.80 : x
  2. Step 2: Convert to fraction form
    52,152.72/78,210 = 18,864.80/x
  3. Step 3: Cross multiply
    52,152.72x = 78,210 × 18,864.80
  4. Step 4: Simplify right side
    52,152.72x = 1,475,416,008
  5. Step 5: Solve for x
    x = 1,475,416,008/52,152.72
  6. Step 6: Final answer
    x = 28,290.30

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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.