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Finding the Fourth Proportional to 78,218.32, 108,030.38 and 53,024.08

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Solution

The fourth proportional to 78,218.32, 108,030.38 and 53,024.08 is: 73,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.32 : 108,030.38 = 53,024.08 : x
  2. Step 2: Convert to fraction form
    78,218.32/108,030.38 = 53,024.08/x
  3. Step 3: Cross multiply
    78,218.32x = 108,030.38 × 53,024.08
  4. Step 4: Simplify right side
    78,218.32x = 5,728,211,511.55
  5. Step 5: Solve for x
    x = 5,728,211,511.55/78,218.32
  6. Step 6: Final answer
    x = 73,233.63

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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.