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Finding the Fourth Proportional to 52,276.19, 72,141.44 and 28,403.06

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Solution

The fourth proportional to 52,276.19, 72,141.44 and 28,403.06 is: 39,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,276.19 : 72,141.44 = 28,403.06 : x
  2. Step 2: Convert to fraction form
    52,276.19/72,141.44 = 28,403.06/x
  3. Step 3: Cross multiply
    52,276.19x = 72,141.44 × 28,403.06
  4. Step 4: Simplify right side
    52,276.19x = 2,049,037,146.08
  5. Step 5: Solve for x
    x = 2,049,037,146.08/52,276.19
  6. Step 6: Final answer
    x = 39,196.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.