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Finding the Fourth Proportional to 66,465, 91,722.51 and 38,173.32

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Solution

The fourth proportional to 66,465, 91,722.51 and 38,173.32 is: 52,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,465 : 91,722.51 = 38,173.32 : x
  2. Step 2: Convert to fraction form
    66,465/91,722.51 = 38,173.32/x
  3. Step 3: Cross multiply
    66,465x = 91,722.51 × 38,173.32
  4. Step 4: Simplify right side
    66,465x = 3,501,352,725.43
  5. Step 5: Solve for x
    x = 3,501,352,725.43/66,465
  6. Step 6: Final answer
    x = 52,679.65

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Why These Related Problems?

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