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Finding the Fourth Proportional to 65,823.38, 90,830.10 and 40,318.10

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Solution

The fourth proportional to 65,823.38, 90,830.10 and 40,318.10 is: 55,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,823.38 : 90,830.10 = 40,318.10 : x
  2. Step 2: Convert to fraction form
    65,823.38/90,830.10 = 40,318.10/x
  3. Step 3: Cross multiply
    65,823.38x = 90,830.10 × 40,318.10
  4. Step 4: Simplify right side
    65,823.38x = 3,662,097,054.81
  5. Step 5: Solve for x
    x = 3,662,097,054.81/65,823.38
  6. Step 6: Final answer
    x = 55,635.20

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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.