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Finding the Fourth Proportional to 65,102.47, 97,495.99 and 45,055.78

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Solution

The fourth proportional to 65,102.47, 97,495.99 and 45,055.78 is: 67,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,102.47 : 97,495.99 = 45,055.78 : x
  2. Step 2: Convert to fraction form
    65,102.47/97,495.99 = 45,055.78/x
  3. Step 3: Cross multiply
    65,102.47x = 97,495.99 × 45,055.78
  4. Step 4: Simplify right side
    65,102.47x = 4,392,757,519.94
  5. Step 5: Solve for x
    x = 4,392,757,519.94/65,102.47
  6. Step 6: Final answer
    x = 67,474.52

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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.