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Finding the Fourth Proportional to 32,778.90, 49,175.64 and 9,403.50

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Solution

The fourth proportional to 32,778.90, 49,175.64 and 9,403.50 is: 14,107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.90 : 49,175.64 = 9,403.50 : x
  2. Step 2: Convert to fraction form
    32,778.90/49,175.64 = 9,403.50/x
  3. Step 3: Cross multiply
    32,778.90x = 49,175.64 × 9,403.50
  4. Step 4: Simplify right side
    32,778.90x = 462,423,130.74
  5. Step 5: Solve for x
    x = 462,423,130.74/32,778.90
  6. Step 6: Final answer
    x = 14,107.34

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1.5x scale

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.