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Finding the Fourth Proportional to 59,643.76, 82,308.40 and 32,788

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Solution

The fourth proportional to 59,643.76, 82,308.40 and 32,788 is: 45,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,643.76 : 82,308.40 = 32,788 : x
  2. Step 2: Convert to fraction form
    59,643.76/82,308.40 = 32,788/x
  3. Step 3: Cross multiply
    59,643.76x = 82,308.40 × 32,788
  4. Step 4: Simplify right side
    59,643.76x = 2,698,727,819.20
  5. Step 5: Solve for x
    x = 2,698,727,819.20/59,643.76
  6. Step 6: Final answer
    x = 45,247.45

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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.