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Finding the Fourth Proportional to 53,666.34, 80,536.49 and 22,078.50

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Solution

The fourth proportional to 53,666.34, 80,536.49 and 22,078.50 is: 33,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,666.34 : 80,536.49 = 22,078.50 : x
  2. Step 2: Convert to fraction form
    53,666.34/80,536.49 = 22,078.50/x
  3. Step 3: Cross multiply
    53,666.34x = 80,536.49 × 22,078.50
  4. Step 4: Simplify right side
    53,666.34x = 1,778,124,894.47
  5. Step 5: Solve for x
    x = 1,778,124,894.47/53,666.34
  6. Step 6: Final answer
    x = 33,132.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.