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Finding the Fourth Proportional to 55,952.68, 77,214.66 and 30,802.12

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Solution

The fourth proportional to 55,952.68, 77,214.66 and 30,802.12 is: 42,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,952.68 : 77,214.66 = 30,802.12 : x
  2. Step 2: Convert to fraction form
    55,952.68/77,214.66 = 30,802.12/x
  3. Step 3: Cross multiply
    55,952.68x = 77,214.66 × 30,802.12
  4. Step 4: Simplify right side
    55,952.68x = 2,378,375,223.08
  5. Step 5: Solve for x
    x = 2,378,375,223.08/55,952.68
  6. Step 6: Final answer
    x = 42,506.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.