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Finding the Fourth Proportional to 51,886.77, 77,841.08 and 16,823.69

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Solution

The fourth proportional to 51,886.77, 77,841.08 and 16,823.69 is: 25,239.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,886.77 : 77,841.08 = 16,823.69 : x
  2. Step 2: Convert to fraction form
    51,886.77/77,841.08 = 16,823.69/x
  3. Step 3: Cross multiply
    51,886.77x = 77,841.08 × 16,823.69
  4. Step 4: Simplify right side
    51,886.77x = 1,309,574,199.19
  5. Step 5: Solve for x
    x = 1,309,574,199.19/51,886.77
  6. Step 6: Final answer
    x = 25,239.08

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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.