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Finding the Fourth Proportional to 65,504.08, 90,397.38 and 37,214.02

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Solution

The fourth proportional to 65,504.08, 90,397.38 and 37,214.02 is: 51,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,504.08 : 90,397.38 = 37,214.02 : x
  2. Step 2: Convert to fraction form
    65,504.08/90,397.38 = 37,214.02/x
  3. Step 3: Cross multiply
    65,504.08x = 90,397.38 × 37,214.02
  4. Step 4: Simplify right side
    65,504.08x = 3,364,049,907.27
  5. Step 5: Solve for x
    x = 3,364,049,907.27/65,504.08
  6. Step 6: Final answer
    x = 51,356.34

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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.