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Finding the Fourth Proportional to 53,855.98, 74,319.51 and 29,981.86

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Solution

The fourth proportional to 53,855.98, 74,319.51 and 29,981.86 is: 41,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,855.98 : 74,319.51 = 29,981.86 : x
  2. Step 2: Convert to fraction form
    53,855.98/74,319.51 = 29,981.86/x
  3. Step 3: Cross multiply
    53,855.98x = 74,319.51 × 29,981.86
  4. Step 4: Simplify right side
    53,855.98x = 2,228,237,144.09
  5. Step 5: Solve for x
    x = 2,228,237,144.09/53,855.98
  6. Step 6: Final answer
    x = 41,374.00

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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.