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Finding the Fourth Proportional to 65,873.32, 90,905.22 and 35,658.54

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Solution

The fourth proportional to 65,873.32, 90,905.22 and 35,658.54 is: 49,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,873.32 : 90,905.22 = 35,658.54 : x
  2. Step 2: Convert to fraction form
    65,873.32/90,905.22 = 35,658.54/x
  3. Step 3: Cross multiply
    65,873.32x = 90,905.22 × 35,658.54
  4. Step 4: Simplify right side
    65,873.32x = 3,241,547,423.58
  5. Step 5: Solve for x
    x = 3,241,547,423.58/65,873.32
  6. Step 6: Final answer
    x = 49,208.81

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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.