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Finding the Fourth Proportional to 98,089.38, 147,099.48 and 31,507.02

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Solution

The fourth proportional to 98,089.38, 147,099.48 and 31,507.02 is: 47,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,089.38 : 147,099.48 = 31,507.02 : x
  2. Step 2: Convert to fraction form
    98,089.38/147,099.48 = 31,507.02/x
  3. Step 3: Cross multiply
    98,089.38x = 147,099.48 × 31,507.02
  4. Step 4: Simplify right side
    98,089.38x = 4,634,666,258.35
  5. Step 5: Solve for x
    x = 4,634,666,258.35/98,089.38
  6. Step 6: Final answer
    x = 47,249.42

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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.