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Finding the Fourth Proportional to 53,776.08, 74,203.98 and 29,898

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Solution

The fourth proportional to 53,776.08, 74,203.98 and 29,898 is: 41,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,776.08 : 74,203.98 = 29,898 : x
  2. Step 2: Convert to fraction form
    53,776.08/74,203.98 = 29,898/x
  3. Step 3: Cross multiply
    53,776.08x = 74,203.98 × 29,898
  4. Step 4: Simplify right side
    53,776.08x = 2,218,550,594.04
  5. Step 5: Solve for x
    x = 2,218,550,594.04/53,776.08
  6. Step 6: Final answer
    x = 41,255.34

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