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Finding the Fourth Proportional to 106,486.74, 159,594.42 and 56,590.74

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Solution

The fourth proportional to 106,486.74, 159,594.42 and 56,590.74 is: 84,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,486.74 : 159,594.42 = 56,590.74 : x
  2. Step 2: Convert to fraction form
    106,486.74/159,594.42 = 56,590.74/x
  3. Step 3: Cross multiply
    106,486.74x = 159,594.42 × 56,590.74
  4. Step 4: Simplify right side
    106,486.74x = 9,031,566,327.67
  5. Step 5: Solve for x
    x = 9,031,566,327.67/106,486.74
  6. Step 6: Final answer
    x = 84,814.00

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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.