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Finding the Fourth Proportional to 65,509.38, 90,402.49 and 37,215.07

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Solution

The fourth proportional to 65,509.38, 90,402.49 and 37,215.07 is: 51,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509.38 : 90,402.49 = 37,215.07 : x
  2. Step 2: Convert to fraction form
    65,509.38/90,402.49 = 37,215.07/x
  3. Step 3: Cross multiply
    65,509.38x = 90,402.49 × 37,215.07
  4. Step 4: Simplify right side
    65,509.38x = 3,364,334,814.04
  5. Step 5: Solve for x
    x = 3,364,334,814.04/65,509.38
  6. Step 6: Final answer
    x = 51,356.54

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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.