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Finding the Fourth Proportional to 32,807.96, 49,197.10 and 9,428.92

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Solution

The fourth proportional to 32,807.96, 49,197.10 and 9,428.92 is: 14,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.96 : 49,197.10 = 9,428.92 : x
  2. Step 2: Convert to fraction form
    32,807.96/49,197.10 = 9,428.92/x
  3. Step 3: Cross multiply
    32,807.96x = 49,197.10 × 9,428.92
  4. Step 4: Simplify right side
    32,807.96x = 463,875,520.13
  5. Step 5: Solve for x
    x = 463,875,520.13/32,807.96
  6. Step 6: Final answer
    x = 14,139.12

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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.