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Finding the Fourth Proportional to 78,516.80, 117,730.44 and 53,587.02

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Solution

The fourth proportional to 78,516.80, 117,730.44 and 53,587.02 is: 80,349.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,516.80 : 117,730.44 = 53,587.02 : x
  2. Step 2: Convert to fraction form
    78,516.80/117,730.44 = 53,587.02/x
  3. Step 3: Cross multiply
    78,516.80x = 117,730.44 × 53,587.02
  4. Step 4: Simplify right side
    78,516.80x = 6,308,823,442.89
  5. Step 5: Solve for x
    x = 6,308,823,442.89/78,516.80
  6. Step 6: Final answer
    x = 80,349.99

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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.