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Finding the Fourth Proportional to 65,514.93, 90,384.91 and 36,828.02

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Solution

The fourth proportional to 65,514.93, 90,384.91 and 36,828.02 is: 50,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,514.93 : 90,384.91 = 36,828.02 : x
  2. Step 2: Convert to fraction form
    65,514.93/90,384.91 = 36,828.02/x
  3. Step 3: Cross multiply
    65,514.93x = 90,384.91 × 36,828.02
  4. Step 4: Simplify right side
    65,514.93x = 3,328,697,105.81
  5. Step 5: Solve for x
    x = 3,328,697,105.81/65,514.93
  6. Step 6: Final answer
    x = 50,808.22

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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.