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Finding the Fourth Proportional to 46,903.83, 64,723.18 and 27,780.22

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Solution

The fourth proportional to 46,903.83, 64,723.18 and 27,780.22 is: 38,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,903.83 : 64,723.18 = 27,780.22 : x
  2. Step 2: Convert to fraction form
    46,903.83/64,723.18 = 27,780.22/x
  3. Step 3: Cross multiply
    46,903.83x = 64,723.18 × 27,780.22
  4. Step 4: Simplify right side
    46,903.83x = 1,798,024,179.50
  5. Step 5: Solve for x
    x = 1,798,024,179.50/46,903.83
  6. Step 6: Final answer
    x = 38,334.27

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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.