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Finding the Fourth Proportional to 53,806.84, 74,250.14 and 31,144.18

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Solution

The fourth proportional to 53,806.84, 74,250.14 and 31,144.18 is: 42,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,806.84 : 74,250.14 = 31,144.18 : x
  2. Step 2: Convert to fraction form
    53,806.84/74,250.14 = 31,144.18/x
  3. Step 3: Cross multiply
    53,806.84x = 74,250.14 × 31,144.18
  4. Step 4: Simplify right side
    53,806.84x = 2,312,459,725.19
  5. Step 5: Solve for x
    x = 2,312,459,725.19/53,806.84
  6. Step 6: Final answer
    x = 42,977.06

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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.