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Finding the Fourth Proportional to 97,846.79, 146,698.29 and 31,248.59

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Solution

The fourth proportional to 97,846.79, 146,698.29 and 31,248.59 is: 46,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,846.79 : 146,698.29 = 31,248.59 : x
  2. Step 2: Convert to fraction form
    97,846.79/146,698.29 = 31,248.59/x
  3. Step 3: Cross multiply
    97,846.79x = 146,698.29 × 31,248.59
  4. Step 4: Simplify right side
    97,846.79x = 4,584,113,984.42
  5. Step 5: Solve for x
    x = 4,584,113,984.42/97,846.79
  6. Step 6: Final answer
    x = 46,849.92

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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.