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Finding the Fourth Proportional to 97,648.79, 146,484 and 31,073.49

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Solution

The fourth proportional to 97,648.79, 146,484 and 31,073.49 is: 46,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648.79 : 146,484 = 31,073.49 : x
  2. Step 2: Convert to fraction form
    97,648.79/146,484 = 31,073.49/x
  3. Step 3: Cross multiply
    97,648.79x = 146,484 × 31,073.49
  4. Step 4: Simplify right side
    97,648.79x = 4,551,769,109.16
  5. Step 5: Solve for x
    x = 4,551,769,109.16/97,648.79
  6. Step 6: Final answer
    x = 46,613.68

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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.