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Finding the Fourth Proportional to 55,806.76, 83,700.84 and 18,367.24

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Solution

The fourth proportional to 55,806.76, 83,700.84 and 18,367.24 is: 27,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,806.76 : 83,700.84 = 18,367.24 : x
  2. Step 2: Convert to fraction form
    55,806.76/83,700.84 = 18,367.24/x
  3. Step 3: Cross multiply
    55,806.76x = 83,700.84 × 18,367.24
  4. Step 4: Simplify right side
    55,806.76x = 1,537,353,416.48
  5. Step 5: Solve for x
    x = 1,537,353,416.48/55,806.76
  6. Step 6: Final answer
    x = 27,547.80

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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.