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Finding the Fourth Proportional to 52,490, 78,685.45 and 20,919.58

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Solution

The fourth proportional to 52,490, 78,685.45 and 20,919.58 is: 31,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,490 : 78,685.45 = 20,919.58 : x
  2. Step 2: Convert to fraction form
    52,490/78,685.45 = 20,919.58/x
  3. Step 3: Cross multiply
    52,490x = 78,685.45 × 20,919.58
  4. Step 4: Simplify right side
    52,490x = 1,646,066,566.11
  5. Step 5: Solve for x
    x = 1,646,066,566.11/52,490
  6. Step 6: Final answer
    x = 31,359.62

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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.