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Finding the Fourth Proportional to 53,492.20, 73,814.10 and 31,977.69

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Solution

The fourth proportional to 53,492.20, 73,814.10 and 31,977.69 is: 44,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,492.20 : 73,814.10 = 31,977.69 : x
  2. Step 2: Convert to fraction form
    53,492.20/73,814.10 = 31,977.69/x
  3. Step 3: Cross multiply
    53,492.20x = 73,814.10 × 31,977.69
  4. Step 4: Simplify right side
    53,492.20x = 2,360,404,010.71
  5. Step 5: Solve for x
    x = 2,360,404,010.71/53,492.20
  6. Step 6: Final answer
    x = 44,126.14

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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.