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Finding the Fourth Proportional to 35,867.47, 53,801.21 and 9,572.31

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Solution

The fourth proportional to 35,867.47, 53,801.21 and 9,572.31 is: 14,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,867.47 : 53,801.21 = 9,572.31 : x
  2. Step 2: Convert to fraction form
    35,867.47/53,801.21 = 9,572.31/x
  3. Step 3: Cross multiply
    35,867.47x = 53,801.21 × 9,572.31
  4. Step 4: Simplify right side
    35,867.47x = 515,001,860.50
  5. Step 5: Solve for x
    x = 515,001,860.50/35,867.47
  6. Step 6: Final answer
    x = 14,358.47

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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.