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Finding the Fourth Proportional to 57,202.26, 78,920.16 and 34,532.58

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Solution

The fourth proportional to 57,202.26, 78,920.16 and 34,532.58 is: 47,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202.26 : 78,920.16 = 34,532.58 : x
  2. Step 2: Convert to fraction form
    57,202.26/78,920.16 = 34,532.58/x
  3. Step 3: Cross multiply
    57,202.26x = 78,920.16 × 34,532.58
  4. Step 4: Simplify right side
    57,202.26x = 2,725,316,738.81
  5. Step 5: Solve for x
    x = 2,725,316,738.81/57,202.26
  6. Step 6: Final answer
    x = 47,643.52

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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.