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Finding the Fourth Proportional to 78,411, 108,296.28 and 53,216.76

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Solution

The fourth proportional to 78,411, 108,296.28 and 53,216.76 is: 73,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,411 : 108,296.28 = 53,216.76 : x
  2. Step 2: Convert to fraction form
    78,411/108,296.28 = 53,216.76/x
  3. Step 3: Cross multiply
    78,411x = 108,296.28 × 53,216.76
  4. Step 4: Simplify right side
    78,411x = 5,763,177,141.65
  5. Step 5: Solve for x
    x = 5,763,177,141.65/78,411
  6. Step 6: Final answer
    x = 73,499.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.