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Finding the Fourth Proportional to 52,817.46, 72,878.84 and 30,146.10

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Solution

The fourth proportional to 52,817.46, 72,878.84 and 30,146.10 is: 41,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,817.46 : 72,878.84 = 30,146.10 : x
  2. Step 2: Convert to fraction form
    52,817.46/72,878.84 = 30,146.10/x
  3. Step 3: Cross multiply
    52,817.46x = 72,878.84 × 30,146.10
  4. Step 4: Simplify right side
    52,817.46x = 2,197,012,798.52
  5. Step 5: Solve for x
    x = 2,197,012,798.52/52,817.46
  6. Step 6: Final answer
    x = 41,596.34

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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.