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Finding the Fourth Proportional to 52,012.66, 77,972.16 and 18,709.32

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Solution

The fourth proportional to 52,012.66, 77,972.16 and 18,709.32 is: 28,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012.66 : 77,972.16 = 18,709.32 : x
  2. Step 2: Convert to fraction form
    52,012.66/77,972.16 = 18,709.32/x
  3. Step 3: Cross multiply
    52,012.66x = 77,972.16 × 18,709.32
  4. Step 4: Simplify right side
    52,012.66x = 1,458,806,092.53
  5. Step 5: Solve for x
    x = 1,458,806,092.53/52,012.66
  6. Step 6: Final answer
    x = 28,047.13

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1.5x scale

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.