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Finding the Fourth Proportional to 56,206.09, 77,580.04 and 32,340.45

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Solution

The fourth proportional to 56,206.09, 77,580.04 and 32,340.45 is: 44,638.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,206.09 : 77,580.04 = 32,340.45 : x
  2. Step 2: Convert to fraction form
    56,206.09/77,580.04 = 32,340.45/x
  3. Step 3: Cross multiply
    56,206.09x = 77,580.04 × 32,340.45
  4. Step 4: Simplify right side
    56,206.09x = 2,508,973,404.62
  5. Step 5: Solve for x
    x = 2,508,973,404.62/56,206.09
  6. Step 6: Final answer
    x = 44,638.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.