Home / 52,020-78,032.16-15,084

Finding the Fourth Proportional to 52,020, 78,032.16 and 15,084

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Solution

The fourth proportional to 52,020, 78,032.16 and 15,084 is: 22,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,020 : 78,032.16 = 15,084 : x
  2. Step 2: Convert to fraction form
    52,020/78,032.16 = 15,084/x
  3. Step 3: Cross multiply
    52,020x = 78,032.16 × 15,084
  4. Step 4: Simplify right side
    52,020x = 1,177,037,101.44
  5. Step 5: Solve for x
    x = 1,177,037,101.44/52,020
  6. Step 6: Final answer
    x = 22,626.63

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Why These Related Problems?

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