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Finding the Fourth Proportional to 52,407, 72,323.28 and 30,051

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Solution

The fourth proportional to 52,407, 72,323.28 and 30,051 is: 41,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407 : 72,323.28 = 30,051 : x
  2. Step 2: Convert to fraction form
    52,407/72,323.28 = 30,051/x
  3. Step 3: Cross multiply
    52,407x = 72,323.28 × 30,051
  4. Step 4: Simplify right side
    52,407x = 2,173,386,887.28
  5. Step 5: Solve for x
    x = 2,173,386,887.28/52,407
  6. Step 6: Final answer
    x = 41,471.31

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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.