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Finding the Fourth Proportional to 78,834.52, 118,219.14 and 32,055.64

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Solution

The fourth proportional to 78,834.52, 118,219.14 and 32,055.64 is: 48,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,834.52 : 118,219.14 = 32,055.64 : x
  2. Step 2: Convert to fraction form
    78,834.52/118,219.14 = 32,055.64/x
  3. Step 3: Cross multiply
    78,834.52x = 118,219.14 × 32,055.64
  4. Step 4: Simplify right side
    78,834.52x = 3,789,590,192.95
  5. Step 5: Solve for x
    x = 3,789,590,192.95/78,834.52
  6. Step 6: Final answer
    x = 48,070.19

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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.