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Finding the Fourth Proportional to 78,602.68, 117,788.64 and 48,930.04

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Solution

The fourth proportional to 78,602.68, 117,788.64 and 48,930.04 is: 73,323.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,602.68 : 117,788.64 = 48,930.04 : x
  2. Step 2: Convert to fraction form
    78,602.68/117,788.64 = 48,930.04/x
  3. Step 3: Cross multiply
    78,602.68x = 117,788.64 × 48,930.04
  4. Step 4: Simplify right side
    78,602.68x = 5,763,402,866.75
  5. Step 5: Solve for x
    x = 5,763,402,866.75/78,602.68
  6. Step 6: Final answer
    x = 73,323.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.