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Finding the Fourth Proportional to 53,083.34, 79,642.29 and 25,383.50

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Solution

The fourth proportional to 53,083.34, 79,642.29 and 25,383.50 is: 38,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,083.34 : 79,642.29 = 25,383.50 : x
  2. Step 2: Convert to fraction form
    53,083.34/79,642.29 = 25,383.50/x
  3. Step 3: Cross multiply
    53,083.34x = 79,642.29 × 25,383.50
  4. Step 4: Simplify right side
    53,083.34x = 2,021,600,068.22
  5. Step 5: Solve for x
    x = 2,021,600,068.22/53,083.34
  6. Step 6: Final answer
    x = 38,083.51

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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.