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Finding the Fourth Proportional to 97,894.79, 146,860.56 and 31,317.04

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Solution

The fourth proportional to 97,894.79, 146,860.56 and 31,317.04 is: 46,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,894.79 : 146,860.56 = 31,317.04 : x
  2. Step 2: Convert to fraction form
    97,894.79/146,860.56 = 31,317.04/x
  3. Step 3: Cross multiply
    97,894.79x = 146,860.56 × 31,317.04
  4. Step 4: Simplify right side
    97,894.79x = 4,599,238,031.94
  5. Step 5: Solve for x
    x = 4,599,238,031.94/97,894.79
  6. Step 6: Final answer
    x = 46,981.44

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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.