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Finding the Fourth Proportional to 97,092.96, 145,696.08 and 40,929.66

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Solution

The fourth proportional to 97,092.96, 145,696.08 and 40,929.66 is: 61,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,092.96 : 145,696.08 = 40,929.66 : x
  2. Step 2: Convert to fraction form
    97,092.96/145,696.08 = 40,929.66/x
  3. Step 3: Cross multiply
    97,092.96x = 145,696.08 × 40,929.66
  4. Step 4: Simplify right side
    97,092.96x = 5,963,291,017.73
  5. Step 5: Solve for x
    x = 5,963,291,017.73/97,092.96
  6. Step 6: Final answer
    x = 61,418.37

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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.