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Finding the Fourth Proportional to 32,807.12, 49,210.32 and 10,620

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Solution

The fourth proportional to 32,807.12, 49,210.32 and 10,620 is: 15,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.12 : 49,210.32 = 10,620 : x
  2. Step 2: Convert to fraction form
    32,807.12/49,210.32 = 10,620/x
  3. Step 3: Cross multiply
    32,807.12x = 49,210.32 × 10,620
  4. Step 4: Simplify right side
    32,807.12x = 522,613,598.40
  5. Step 5: Solve for x
    x = 522,613,598.40/32,807.12
  6. Step 6: Final answer
    x = 15,929.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.