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Finding the Fourth Proportional to 52,194.96, 78,214.68 and 28,828.08

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Solution

The fourth proportional to 52,194.96, 78,214.68 and 28,828.08 is: 43,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,194.96 : 78,214.68 = 28,828.08 : x
  2. Step 2: Convert to fraction form
    52,194.96/78,214.68 = 28,828.08/x
  3. Step 3: Cross multiply
    52,194.96x = 78,214.68 × 28,828.08
  4. Step 4: Simplify right side
    52,194.96x = 2,254,779,052.21
  5. Step 5: Solve for x
    x = 2,254,779,052.21/52,194.96
  6. Step 6: Final answer
    x = 43,199.17

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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.