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Finding the Fourth Proportional to 65,903.16, 98,807.76 and 30,823.68

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Solution

The fourth proportional to 65,903.16, 98,807.76 and 30,823.68 is: 46,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,903.16 : 98,807.76 = 30,823.68 : x
  2. Step 2: Convert to fraction form
    65,903.16/98,807.76 = 30,823.68/x
  3. Step 3: Cross multiply
    65,903.16x = 98,807.76 × 30,823.68
  4. Step 4: Simplify right side
    65,903.16x = 3,045,618,775.76
  5. Step 5: Solve for x
    x = 3,045,618,775.76/65,903.16
  6. Step 6: Final answer
    x = 46,213.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.