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Finding the Fourth Proportional to 37,465.77, 51,703.16 and 20,698.77

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Solution

The fourth proportional to 37,465.77, 51,703.16 and 20,698.77 is: 28,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,465.77 : 51,703.16 = 20,698.77 : x
  2. Step 2: Convert to fraction form
    37,465.77/51,703.16 = 20,698.77/x
  3. Step 3: Cross multiply
    37,465.77x = 51,703.16 × 20,698.77
  4. Step 4: Simplify right side
    37,465.77x = 1,070,191,713.62
  5. Step 5: Solve for x
    x = 1,070,191,713.62/37,465.77
  6. Step 6: Final answer
    x = 28,564.52

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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.