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Finding the Fourth Proportional to 65,292.32, 90,081.24 and 38,426.24

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Solution

The fourth proportional to 65,292.32, 90,081.24 and 38,426.24 is: 53,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,292.32 : 90,081.24 = 38,426.24 : x
  2. Step 2: Convert to fraction form
    65,292.32/90,081.24 = 38,426.24/x
  3. Step 3: Cross multiply
    65,292.32x = 90,081.24 × 38,426.24
  4. Step 4: Simplify right side
    65,292.32x = 3,461,483,347.74
  5. Step 5: Solve for x
    x = 3,461,483,347.74/65,292.32
  6. Step 6: Final answer
    x = 53,015.17

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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.