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Finding the Fourth Proportional to 97,937.51, 146,894.41 and 26,865.93

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Solution

The fourth proportional to 97,937.51, 146,894.41 and 26,865.93 is: 40,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,937.51 : 146,894.41 = 26,865.93 : x
  2. Step 2: Convert to fraction form
    97,937.51/146,894.41 = 26,865.93/x
  3. Step 3: Cross multiply
    97,937.51x = 146,894.41 × 26,865.93
  4. Step 4: Simplify right side
    97,937.51x = 3,946,454,694.61
  5. Step 5: Solve for x
    x = 3,946,454,694.61/97,937.51
  6. Step 6: Final answer
    x = 40,295.64

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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.