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Finding the Fourth Proportional to 52,433.70, 78,254.42 and 48,878.46

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Solution

The fourth proportional to 52,433.70, 78,254.42 and 48,878.46 is: 72,948.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,433.70 : 78,254.42 = 48,878.46 : x
  2. Step 2: Convert to fraction form
    52,433.70/78,254.42 = 48,878.46/x
  3. Step 3: Cross multiply
    52,433.70x = 78,254.42 × 48,878.46
  4. Step 4: Simplify right side
    52,433.70x = 3,824,955,146.52
  5. Step 5: Solve for x
    x = 3,824,955,146.52/52,433.70
  6. Step 6: Final answer
    x = 72,948.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.