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Finding the Fourth Proportional to 52,646, 78,982.68 and 15,710

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Solution

The fourth proportional to 52,646, 78,982.68 and 15,710 is: 23,569.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,646 : 78,982.68 = 15,710 : x
  2. Step 2: Convert to fraction form
    52,646/78,982.68 = 15,710/x
  3. Step 3: Cross multiply
    52,646x = 78,982.68 × 15,710
  4. Step 4: Simplify right side
    52,646x = 1,240,817,902.80
  5. Step 5: Solve for x
    x = 1,240,817,902.80/52,646
  6. Step 6: Final answer
    x = 23,569.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.