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Finding the Fourth Proportional to 52,006.40, 78,009.60 and 31,011.20

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Solution

The fourth proportional to 52,006.40, 78,009.60 and 31,011.20 is: 46,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006.40 : 78,009.60 = 31,011.20 : x
  2. Step 2: Convert to fraction form
    52,006.40/78,009.60 = 31,011.20/x
  3. Step 3: Cross multiply
    52,006.40x = 78,009.60 × 31,011.20
  4. Step 4: Simplify right side
    52,006.40x = 2,419,171,307.52
  5. Step 5: Solve for x
    x = 2,419,171,307.52/52,006.40
  6. Step 6: Final answer
    x = 46,516.80

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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.