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Finding the Fourth Proportional to 52,493.40, 78,740.10 and 31,498.20

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Solution

The fourth proportional to 52,493.40, 78,740.10 and 31,498.20 is: 47,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,493.40 : 78,740.10 = 31,498.20 : x
  2. Step 2: Convert to fraction form
    52,493.40/78,740.10 = 31,498.20/x
  3. Step 3: Cross multiply
    52,493.40x = 78,740.10 × 31,498.20
  4. Step 4: Simplify right side
    52,493.40x = 2,480,171,417.82
  5. Step 5: Solve for x
    x = 2,480,171,417.82/52,493.40
  6. Step 6: Final answer
    x = 47,247.30

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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.