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Finding the Fourth Proportional to 52,068.96, 78,118.08 and 20,926.08

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Solution

The fourth proportional to 52,068.96, 78,118.08 and 20,926.08 is: 31,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,068.96 : 78,118.08 = 20,926.08 : x
  2. Step 2: Convert to fraction form
    52,068.96/78,118.08 = 20,926.08/x
  3. Step 3: Cross multiply
    52,068.96x = 78,118.08 × 20,926.08
  4. Step 4: Simplify right side
    52,068.96x = 1,634,705,191.53
  5. Step 5: Solve for x
    x = 1,634,705,191.53/52,068.96
  6. Step 6: Final answer
    x = 31,395.00

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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.