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Finding the Fourth Proportional to 70,814.83, 106,287.95 and 35,779.09

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Solution

The fourth proportional to 70,814.83, 106,287.95 and 35,779.09 is: 53,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,814.83 : 106,287.95 = 35,779.09 : x
  2. Step 2: Convert to fraction form
    70,814.83/106,287.95 = 35,779.09/x
  3. Step 3: Cross multiply
    70,814.83x = 106,287.95 × 35,779.09
  4. Step 4: Simplify right side
    70,814.83x = 3,802,885,950.07
  5. Step 5: Solve for x
    x = 3,802,885,950.07/70,814.83
  6. Step 6: Final answer
    x = 53,701.83

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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.