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Finding the Fourth Proportional to 53,538.84, 80,431.38 and 37,780.16

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Solution

The fourth proportional to 53,538.84, 80,431.38 and 37,780.16 is: 56,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.84 : 80,431.38 = 37,780.16 : x
  2. Step 2: Convert to fraction form
    53,538.84/80,431.38 = 37,780.16/x
  3. Step 3: Cross multiply
    53,538.84x = 80,431.38 × 37,780.16
  4. Step 4: Simplify right side
    53,538.84x = 3,038,710,003.26
  5. Step 5: Solve for x
    x = 3,038,710,003.26/53,538.84
  6. Step 6: Final answer
    x = 56,757.11

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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.