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Finding the Fourth Proportional to 52,816, 72,888.24 and 30,460

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Solution

The fourth proportional to 52,816, 72,888.24 and 30,460 is: 42,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,816 : 72,888.24 = 30,460 : x
  2. Step 2: Convert to fraction form
    52,816/72,888.24 = 30,460/x
  3. Step 3: Cross multiply
    52,816x = 72,888.24 × 30,460
  4. Step 4: Simplify right side
    52,816x = 2,220,175,790.40
  5. Step 5: Solve for x
    x = 2,220,175,790.40/52,816
  6. Step 6: Final answer
    x = 42,036.05

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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.