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Finding the Fourth Proportional to 65,888.64, 90,926.36 and 35,674.16

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Solution

The fourth proportional to 65,888.64, 90,926.36 and 35,674.16 is: 49,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,888.64 : 90,926.36 = 35,674.16 : x
  2. Step 2: Convert to fraction form
    65,888.64/90,926.36 = 35,674.16/x
  3. Step 3: Cross multiply
    65,888.64x = 90,926.36 × 35,674.16
  4. Step 4: Simplify right side
    65,888.64x = 3,243,721,514.86
  5. Step 5: Solve for x
    x = 3,243,721,514.86/65,888.64
  6. Step 6: Final answer
    x = 49,230.36

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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.