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Finding the Fourth Proportional to 46,828.85, 70,203.85 and 21,855.74

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Solution

The fourth proportional to 46,828.85, 70,203.85 and 21,855.74 is: 32,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,828.85 : 70,203.85 = 21,855.74 : x
  2. Step 2: Convert to fraction form
    46,828.85/70,203.85 = 21,855.74/x
  3. Step 3: Cross multiply
    46,828.85x = 70,203.85 × 21,855.74
  4. Step 4: Simplify right side
    46,828.85x = 1,534,356,686.94
  5. Step 5: Solve for x
    x = 1,534,356,686.94/46,828.85
  6. Step 6: Final answer
    x = 32,765.20

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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.