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Finding the Fourth Proportional to 65,246.90, 97,870.35 and 51,250.10

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Solution

The fourth proportional to 65,246.90, 97,870.35 and 51,250.10 is: 76,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,246.90 : 97,870.35 = 51,250.10 : x
  2. Step 2: Convert to fraction form
    65,246.90/97,870.35 = 51,250.10/x
  3. Step 3: Cross multiply
    65,246.90x = 97,870.35 × 51,250.10
  4. Step 4: Simplify right side
    65,246.90x = 5,015,865,224.54
  5. Step 5: Solve for x
    x = 5,015,865,224.54/65,246.90
  6. Step 6: Final answer
    x = 76,875.15

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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.