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Finding the Fourth Proportional to 97,448.93, 146,231.70 and 42,044.93

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Solution

The fourth proportional to 97,448.93, 146,231.70 and 42,044.93 is: 63,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,448.93 : 146,231.70 = 42,044.93 : x
  2. Step 2: Convert to fraction form
    97,448.93/146,231.70 = 42,044.93/x
  3. Step 3: Cross multiply
    97,448.93x = 146,231.70 × 42,044.93
  4. Step 4: Simplify right side
    97,448.93x = 6,148,301,590.28
  5. Step 5: Solve for x
    x = 6,148,301,590.28/97,448.93
  6. Step 6: Final answer
    x = 63,092.55

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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.