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Finding the Fourth Proportional to 30,884.52, 46,303.74 and 14,464.68

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Solution

The fourth proportional to 30,884.52, 46,303.74 and 14,464.68 is: 21,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.52 : 46,303.74 = 14,464.68 : x
  2. Step 2: Convert to fraction form
    30,884.52/46,303.74 = 14,464.68/x
  3. Step 3: Cross multiply
    30,884.52x = 46,303.74 × 14,464.68
  4. Step 4: Simplify right side
    30,884.52x = 669,768,781.90
  5. Step 5: Solve for x
    x = 669,768,781.90/30,884.52
  6. Step 6: Final answer
    x = 21,686.23

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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.