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Finding the Fourth Proportional to 32,643.84, 48,971.52 and 11,590.32

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Solution

The fourth proportional to 32,643.84, 48,971.52 and 11,590.32 is: 17,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,643.84 : 48,971.52 = 11,590.32 : x
  2. Step 2: Convert to fraction form
    32,643.84/48,971.52 = 11,590.32/x
  3. Step 3: Cross multiply
    32,643.84x = 48,971.52 × 11,590.32
  4. Step 4: Simplify right side
    32,643.84x = 567,595,587.69
  5. Step 5: Solve for x
    x = 567,595,587.69/32,643.84
  6. Step 6: Final answer
    x = 17,387.53

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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.