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Finding the Fourth Proportional to 78,015.40, 117,023.10 and 31,301.80

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Solution

The fourth proportional to 78,015.40, 117,023.10 and 31,301.80 is: 46,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.40 : 117,023.10 = 31,301.80 : x
  2. Step 2: Convert to fraction form
    78,015.40/117,023.10 = 31,301.80/x
  3. Step 3: Cross multiply
    78,015.40x = 117,023.10 × 31,301.80
  4. Step 4: Simplify right side
    78,015.40x = 3,663,033,671.58
  5. Step 5: Solve for x
    x = 3,663,033,671.58/78,015.40
  6. Step 6: Final answer
    x = 46,952.70

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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.