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Finding the Fourth Proportional to 52,409, 72,326.04 and 30,053

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Solution

The fourth proportional to 52,409, 72,326.04 and 30,053 is: 41,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409 : 72,326.04 = 30,053 : x
  2. Step 2: Convert to fraction form
    52,409/72,326.04 = 30,053/x
  3. Step 3: Cross multiply
    52,409x = 72,326.04 × 30,053
  4. Step 4: Simplify right side
    52,409x = 2,173,614,480.12
  5. Step 5: Solve for x
    x = 2,173,614,480.12/52,409
  6. Step 6: Final answer
    x = 41,474.07

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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.