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Finding the Fourth Proportional to 53,462, 73,774.68 and 29,587.52

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Solution

The fourth proportional to 53,462, 73,774.68 and 29,587.52 is: 40,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,462 : 73,774.68 = 29,587.52 : x
  2. Step 2: Convert to fraction form
    53,462/73,774.68 = 29,587.52/x
  3. Step 3: Cross multiply
    53,462x = 73,774.68 × 29,587.52
  4. Step 4: Simplify right side
    53,462x = 2,182,809,819.99
  5. Step 5: Solve for x
    x = 2,182,809,819.99/53,462
  6. Step 6: Final answer
    x = 40,829.18

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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.