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Finding the Fourth Proportional to 52,886.84, 72,981.42 and 29,013

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Solution

The fourth proportional to 52,886.84, 72,981.42 and 29,013 is: 40,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,886.84 : 72,981.42 = 29,013 : x
  2. Step 2: Convert to fraction form
    52,886.84/72,981.42 = 29,013/x
  3. Step 3: Cross multiply
    52,886.84x = 72,981.42 × 29,013
  4. Step 4: Simplify right side
    52,886.84x = 2,117,409,938.46
  5. Step 5: Solve for x
    x = 2,117,409,938.46/52,886.84
  6. Step 6: Final answer
    x = 40,036.61

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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.