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Finding the Fourth Proportional to 52,848, 72,930.24 and 30,492

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Solution

The fourth proportional to 52,848, 72,930.24 and 30,492 is: 42,078.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,848 : 72,930.24 = 30,492 : x
  2. Step 2: Convert to fraction form
    52,848/72,930.24 = 30,492/x
  3. Step 3: Cross multiply
    52,848x = 72,930.24 × 30,492
  4. Step 4: Simplify right side
    52,848x = 2,223,788,878.08
  5. Step 5: Solve for x
    x = 2,223,788,878.08/52,848
  6. Step 6: Final answer
    x = 42,078.96

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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.