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Finding the Fourth Proportional to 55,296.79, 82,875.91 and 23,669.80

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Solution

The fourth proportional to 55,296.79, 82,875.91 and 23,669.80 is: 35,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,296.79 : 82,875.91 = 23,669.80 : x
  2. Step 2: Convert to fraction form
    55,296.79/82,875.91 = 23,669.80/x
  3. Step 3: Cross multiply
    55,296.79x = 82,875.91 × 23,669.80
  4. Step 4: Simplify right side
    55,296.79x = 1,961,656,458.71
  5. Step 5: Solve for x
    x = 1,961,656,458.71/55,296.79
  6. Step 6: Final answer
    x = 35,475.05

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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.