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Finding the Fourth Proportional to 57,368.32, 78,952.56 and 48,532

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Solution

The fourth proportional to 57,368.32, 78,952.56 and 48,532 is: 66,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,368.32 : 78,952.56 = 48,532 : x
  2. Step 2: Convert to fraction form
    57,368.32/78,952.56 = 48,532/x
  3. Step 3: Cross multiply
    57,368.32x = 78,952.56 × 48,532
  4. Step 4: Simplify right side
    57,368.32x = 3,831,725,641.92
  5. Step 5: Solve for x
    x = 3,831,725,641.92/57,368.32
  6. Step 6: Final answer
    x = 66,791.67

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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.