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Finding the Fourth Proportional to 65,225.40, 97,838.10 and 51,228.60

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Solution

The fourth proportional to 65,225.40, 97,838.10 and 51,228.60 is: 76,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,225.40 : 97,838.10 = 51,228.60 : x
  2. Step 2: Convert to fraction form
    65,225.40/97,838.10 = 51,228.60/x
  3. Step 3: Cross multiply
    65,225.40x = 97,838.10 × 51,228.60
  4. Step 4: Simplify right side
    65,225.40x = 5,012,108,889.66
  5. Step 5: Solve for x
    x = 5,012,108,889.66/65,225.40
  6. Step 6: Final answer
    x = 76,842.90

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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.