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Finding the Fourth Proportional to 55,774.68, 83,662.14 and 39,208.74

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Solution

The fourth proportional to 55,774.68, 83,662.14 and 39,208.74 is: 58,813.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,774.68 : 83,662.14 = 39,208.74 : x
  2. Step 2: Convert to fraction form
    55,774.68/83,662.14 = 39,208.74/x
  3. Step 3: Cross multiply
    55,774.68x = 83,662.14 × 39,208.74
  4. Step 4: Simplify right side
    55,774.68x = 3,280,287,095.10
  5. Step 5: Solve for x
    x = 3,280,287,095.10/55,774.68
  6. Step 6: Final answer
    x = 58,813.19

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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.