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Finding the Fourth Proportional to 38,404.52, 53,005.02 and 30,507.02

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Solution

The fourth proportional to 38,404.52, 53,005.02 and 30,507.02 is: 42,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404.52 : 53,005.02 = 30,507.02 : x
  2. Step 2: Convert to fraction form
    38,404.52/53,005.02 = 30,507.02/x
  3. Step 3: Cross multiply
    38,404.52x = 53,005.02 × 30,507.02
  4. Step 4: Simplify right side
    38,404.52x = 1,617,025,205.24
  5. Step 5: Solve for x
    x = 1,617,025,205.24/38,404.52
  6. Step 6: Final answer
    x = 42,105.08

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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.