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Finding the Fourth Proportional to 87,303.76, 130,965.30 and 31,156.96

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Solution

The fourth proportional to 87,303.76, 130,965.30 and 31,156.96 is: 46,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,303.76 : 130,965.30 = 31,156.96 : x
  2. Step 2: Convert to fraction form
    87,303.76/130,965.30 = 31,156.96/x
  3. Step 3: Cross multiply
    87,303.76x = 130,965.30 × 31,156.96
  4. Step 4: Simplify right side
    87,303.76x = 4,080,480,613.49
  5. Step 5: Solve for x
    x = 4,080,480,613.49/87,303.76
  6. Step 6: Final answer
    x = 46,738.89

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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.