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Finding the Fourth Proportional to 32,985.90, 49,477.86 and 9,612.54

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Solution

The fourth proportional to 32,985.90, 49,477.86 and 9,612.54 is: 14,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985.90 : 49,477.86 = 9,612.54 : x
  2. Step 2: Convert to fraction form
    32,985.90/49,477.86 = 9,612.54/x
  3. Step 3: Cross multiply
    32,985.90x = 49,477.86 × 9,612.54
  4. Step 4: Simplify right side
    32,985.90x = 475,607,908.36
  5. Step 5: Solve for x
    x = 475,607,908.36/32,985.90
  6. Step 6: Final answer
    x = 14,418.52

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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.