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Finding the Fourth Proportional to 55,536.65, 83,309.71 and 19,509.96

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Solution

The fourth proportional to 55,536.65, 83,309.71 and 19,509.96 is: 29,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,536.65 : 83,309.71 = 19,509.96 : x
  2. Step 2: Convert to fraction form
    55,536.65/83,309.71 = 19,509.96/x
  3. Step 3: Cross multiply
    55,536.65x = 83,309.71 × 19,509.96
  4. Step 4: Simplify right side
    55,536.65x = 1,625,368,693.16
  5. Step 5: Solve for x
    x = 1,625,368,693.16/55,536.65
  6. Step 6: Final answer
    x = 29,266.60

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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.