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Finding the Fourth Proportional to 65,187.47, 97,714.10 and 37,047.42

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Solution

The fourth proportional to 65,187.47, 97,714.10 and 37,047.42 is: 55,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,187.47 : 97,714.10 = 37,047.42 : x
  2. Step 2: Convert to fraction form
    65,187.47/97,714.10 = 37,047.42/x
  3. Step 3: Cross multiply
    65,187.47x = 97,714.10 × 37,047.42
  4. Step 4: Simplify right side
    65,187.47x = 3,620,055,395.24
  5. Step 5: Solve for x
    x = 3,620,055,395.24/65,187.47
  6. Step 6: Final answer
    x = 55,532.99

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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.