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Finding the Fourth Proportional to 78,695.83, 118,009 and 22,523.14

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Solution

The fourth proportional to 78,695.83, 118,009 and 22,523.14 is: 33,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,695.83 : 118,009 = 22,523.14 : x
  2. Step 2: Convert to fraction form
    78,695.83/118,009 = 22,523.14/x
  3. Step 3: Cross multiply
    78,695.83x = 118,009 × 22,523.14
  4. Step 4: Simplify right side
    78,695.83x = 2,657,933,228.26
  5. Step 5: Solve for x
    x = 2,657,933,228.26/78,695.83
  6. Step 6: Final answer
    x = 33,774.77

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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.