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Finding the Fourth Proportional to 35,837.60, 49,457.15 and 19,706.14

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Solution

The fourth proportional to 35,837.60, 49,457.15 and 19,706.14 is: 27,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,837.60 : 49,457.15 = 19,706.14 : x
  2. Step 2: Convert to fraction form
    35,837.60/49,457.15 = 19,706.14/x
  3. Step 3: Cross multiply
    35,837.60x = 49,457.15 × 19,706.14
  4. Step 4: Simplify right side
    35,837.60x = 974,609,391.74
  5. Step 5: Solve for x
    x = 974,609,391.74/35,837.60
  6. Step 6: Final answer
    x = 27,195.17

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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.