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Finding the Fourth Proportional to 38,590.88, 53,208.72 and 32,612

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Solution

The fourth proportional to 38,590.88, 53,208.72 and 32,612 is: 44,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590.88 : 53,208.72 = 32,612 : x
  2. Step 2: Convert to fraction form
    38,590.88/53,208.72 = 32,612/x
  3. Step 3: Cross multiply
    38,590.88x = 53,208.72 × 32,612
  4. Step 4: Simplify right side
    38,590.88x = 1,735,242,776.64
  5. Step 5: Solve for x
    x = 1,735,242,776.64/38,590.88
  6. Step 6: Final answer
    x = 44,965.10

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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.