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Finding the Fourth Proportional to 36,646.47, 54,978.66 and 11,686.52

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Solution

The fourth proportional to 36,646.47, 54,978.66 and 11,686.52 is: 17,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,646.47 : 54,978.66 = 11,686.52 : x
  2. Step 2: Convert to fraction form
    36,646.47/54,978.66 = 11,686.52/x
  3. Step 3: Cross multiply
    36,646.47x = 54,978.66 × 11,686.52
  4. Step 4: Simplify right side
    36,646.47x = 642,509,347.11
  5. Step 5: Solve for x
    x = 642,509,347.11/36,646.47
  6. Step 6: Final answer
    x = 17,532.64

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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.