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Finding the Fourth Proportional to 32,132.41, 48,200.64 and 9,943.93

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Solution

The fourth proportional to 32,132.41, 48,200.64 and 9,943.93 is: 14,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132.41 : 48,200.64 = 9,943.93 : x
  2. Step 2: Convert to fraction form
    32,132.41/48,200.64 = 9,943.93/x
  3. Step 3: Cross multiply
    32,132.41x = 48,200.64 × 9,943.93
  4. Step 4: Simplify right side
    32,132.41x = 479,303,790.12
  5. Step 5: Solve for x
    x = 479,303,790.12/32,132.41
  6. Step 6: Final answer
    x = 14,916.52

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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.