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Finding the Fourth Proportional to 35,929.60, 53,890.60 and 9,637

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Solution

The fourth proportional to 35,929.60, 53,890.60 and 9,637 is: 14,454.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,929.60 : 53,890.60 = 9,637 : x
  2. Step 2: Convert to fraction form
    35,929.60/53,890.60 = 9,637/x
  3. Step 3: Cross multiply
    35,929.60x = 53,890.60 × 9,637
  4. Step 4: Simplify right side
    35,929.60x = 519,343,712.20
  5. Step 5: Solve for x
    x = 519,343,712.20/35,929.60
  6. Step 6: Final answer
    x = 14,454.48

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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.