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Finding the Fourth Proportional to 86,742.80, 130,162.80 and 36,814.40

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Solution

The fourth proportional to 86,742.80, 130,162.80 and 36,814.40 is: 55,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,742.80 : 130,162.80 = 36,814.40 : x
  2. Step 2: Convert to fraction form
    86,742.80/130,162.80 = 36,814.40/x
  3. Step 3: Cross multiply
    86,742.80x = 130,162.80 × 36,814.40
  4. Step 4: Simplify right side
    86,742.80x = 4,791,865,384.32
  5. Step 5: Solve for x
    x = 4,791,865,384.32/86,742.80
  6. Step 6: Final answer
    x = 55,242.23

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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.