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Finding the Fourth Proportional to 87,263.40, 130,992.30 and 47,897.40

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Solution

The fourth proportional to 87,263.40, 130,992.30 and 47,897.40 is: 71,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,263.40 : 130,992.30 = 47,897.40 : x
  2. Step 2: Convert to fraction form
    87,263.40/130,992.30 = 47,897.40/x
  3. Step 3: Cross multiply
    87,263.40x = 130,992.30 × 47,897.40
  4. Step 4: Simplify right side
    87,263.40x = 6,274,190,590.02
  5. Step 5: Solve for x
    x = 6,274,190,590.02/87,263.40
  6. Step 6: Final answer
    x = 71,899.45

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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.