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Finding the Fourth Proportional to 65,886.78, 90,923.12 and 35,671.34

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Solution

The fourth proportional to 65,886.78, 90,923.12 and 35,671.34 is: 49,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,886.78 : 90,923.12 = 35,671.34 : x
  2. Step 2: Convert to fraction form
    65,886.78/90,923.12 = 35,671.34/x
  3. Step 3: Cross multiply
    65,886.78x = 90,923.12 × 35,671.34
  4. Step 4: Simplify right side
    65,886.78x = 3,243,349,527.38
  5. Step 5: Solve for x
    x = 3,243,349,527.38/65,886.78
  6. Step 6: Final answer
    x = 49,226.10

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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.