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Finding the Fourth Proportional to 65,580, 98,370.36 and 16,332

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Solution

The fourth proportional to 65,580, 98,370.36 and 16,332 is: 24,498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,580 : 98,370.36 = 16,332 : x
  2. Step 2: Convert to fraction form
    65,580/98,370.36 = 16,332/x
  3. Step 3: Cross multiply
    65,580x = 98,370.36 × 16,332
  4. Step 4: Simplify right side
    65,580x = 1,606,584,719.52
  5. Step 5: Solve for x
    x = 1,606,584,719.52/65,580
  6. Step 6: Final answer
    x = 24,498.09

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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.