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Finding the Fourth Proportional to 83,741, 115,562.64 and 46,015.52

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Solution

The fourth proportional to 83,741, 115,562.64 and 46,015.52 is: 63,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,741 : 115,562.64 = 46,015.52 : x
  2. Step 2: Convert to fraction form
    83,741/115,562.64 = 46,015.52/x
  3. Step 3: Cross multiply
    83,741x = 115,562.64 × 46,015.52
  4. Step 4: Simplify right side
    83,741x = 5,317,674,972.17
  5. Step 5: Solve for x
    x = 5,317,674,972.17/83,741
  6. Step 6: Final answer
    x = 63,501.45

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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.