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Finding the Fourth Proportional to 78,442.92, 117,714.42 and 28,518.23

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Solution

The fourth proportional to 78,442.92, 117,714.42 and 28,518.23 is: 42,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,442.92 : 117,714.42 = 28,518.23 : x
  2. Step 2: Convert to fraction form
    78,442.92/117,714.42 = 28,518.23/x
  3. Step 3: Cross multiply
    78,442.92x = 117,714.42 × 28,518.23
  4. Step 4: Simplify right side
    78,442.92x = 3,357,006,315.30
  5. Step 5: Solve for x
    x = 3,357,006,315.30/78,442.92
  6. Step 6: Final answer
    x = 42,795.53

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1.5x scale

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.