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Finding the Fourth Proportional to 98,027.81, 147,027.79 and 31,459.31

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Solution

The fourth proportional to 98,027.81, 147,027.79 and 31,459.31 is: 47,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,027.81 : 147,027.79 = 31,459.31 : x
  2. Step 2: Convert to fraction form
    98,027.81/147,027.79 = 31,459.31/x
  3. Step 3: Cross multiply
    98,027.81x = 147,027.79 × 31,459.31
  4. Step 4: Simplify right side
    98,027.81x = 4,625,392,824.22
  5. Step 5: Solve for x
    x = 4,625,392,824.22/98,027.81
  6. Step 6: Final answer
    x = 47,184.50

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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.