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Finding the Fourth Proportional to 60,541.60, 83,537.76 and 33,684

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Solution

The fourth proportional to 60,541.60, 83,537.76 and 33,684 is: 46,478.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,541.60 : 83,537.76 = 33,684 : x
  2. Step 2: Convert to fraction form
    60,541.60/83,537.76 = 33,684/x
  3. Step 3: Cross multiply
    60,541.60x = 83,537.76 × 33,684
  4. Step 4: Simplify right side
    60,541.60x = 2,813,885,907.84
  5. Step 5: Solve for x
    x = 2,813,885,907.84/60,541.60
  6. Step 6: Final answer
    x = 46,478.55

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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.