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Finding the Fourth Proportional to 78,821.80, 118,038.30 and 52,383.40

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Solution

The fourth proportional to 78,821.80, 118,038.30 and 52,383.40 is: 78,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821.80 : 118,038.30 = 52,383.40 : x
  2. Step 2: Convert to fraction form
    78,821.80/118,038.30 = 52,383.40/x
  3. Step 3: Cross multiply
    78,821.80x = 118,038.30 × 52,383.40
  4. Step 4: Simplify right side
    78,821.80x = 6,183,247,484.22
  5. Step 5: Solve for x
    x = 6,183,247,484.22/78,821.80
  6. Step 6: Final answer
    x = 78,445.91

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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.