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Finding the Fourth Proportional to 74,547.80, 102,876.78 and 40,556.48

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Solution

The fourth proportional to 74,547.80, 102,876.78 and 40,556.48 is: 55,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,547.80 : 102,876.78 = 40,556.48 : x
  2. Step 2: Convert to fraction form
    74,547.80/102,876.78 = 40,556.48/x
  3. Step 3: Cross multiply
    74,547.80x = 102,876.78 × 40,556.48
  4. Step 4: Simplify right side
    74,547.80x = 4,172,320,070.53
  5. Step 5: Solve for x
    x = 4,172,320,070.53/74,547.80
  6. Step 6: Final answer
    x = 55,968.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.