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Finding the Fourth Proportional to 51,583.68, 77,387.13 and 18,303.69

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Solution

The fourth proportional to 51,583.68, 77,387.13 and 18,303.69 is: 27,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,583.68 : 77,387.13 = 18,303.69 : x
  2. Step 2: Convert to fraction form
    51,583.68/77,387.13 = 18,303.69/x
  3. Step 3: Cross multiply
    51,583.68x = 77,387.13 × 18,303.69
  4. Step 4: Simplify right side
    51,583.68x = 1,416,470,037.51
  5. Step 5: Solve for x
    x = 1,416,470,037.51/51,583.68
  6. Step 6: Final answer
    x = 27,459.65

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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.