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Finding the Fourth Proportional to 75,779.16, 113,656.49 and 35,798.05

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Solution

The fourth proportional to 75,779.16, 113,656.49 and 35,798.05 is: 53,691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,779.16 : 113,656.49 = 35,798.05 : x
  2. Step 2: Convert to fraction form
    75,779.16/113,656.49 = 35,798.05/x
  3. Step 3: Cross multiply
    75,779.16x = 113,656.49 × 35,798.05
  4. Step 4: Simplify right side
    75,779.16x = 4,068,680,711.84
  5. Step 5: Solve for x
    x = 4,068,680,711.84/75,779.16
  6. Step 6: Final answer
    x = 53,691.29

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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.