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Finding the Fourth Proportional to 70,139.84, 96,762.14 and 41,829.13

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Solution

The fourth proportional to 70,139.84, 96,762.14 and 41,829.13 is: 57,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,139.84 : 96,762.14 = 41,829.13 : x
  2. Step 2: Convert to fraction form
    70,139.84/96,762.14 = 41,829.13/x
  3. Step 3: Cross multiply
    70,139.84x = 96,762.14 × 41,829.13
  4. Step 4: Simplify right side
    70,139.84x = 4,047,476,133.14
  5. Step 5: Solve for x
    x = 4,047,476,133.14/70,139.84
  6. Step 6: Final answer
    x = 57,705.81

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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.