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Finding the Fourth Proportional to 82,136, 113,341.16 and 46,314.56

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Solution

The fourth proportional to 82,136, 113,341.16 and 46,314.56 is: 63,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,136 : 113,341.16 = 46,314.56 : x
  2. Step 2: Convert to fraction form
    82,136/113,341.16 = 46,314.56/x
  3. Step 3: Cross multiply
    82,136x = 113,341.16 × 46,314.56
  4. Step 4: Simplify right side
    82,136x = 5,249,345,955.29
  5. Step 5: Solve for x
    x = 5,249,345,955.29/82,136
  6. Step 6: Final answer
    x = 63,910.42

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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.