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Finding the Fourth Proportional to 30,729.14, 46,101 and 9,952.64

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Solution

The fourth proportional to 30,729.14, 46,101 and 9,952.64 is: 14,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.14 : 46,101 = 9,952.64 : x
  2. Step 2: Convert to fraction form
    30,729.14/46,101 = 9,952.64/x
  3. Step 3: Cross multiply
    30,729.14x = 46,101 × 9,952.64
  4. Step 4: Simplify right side
    30,729.14x = 458,826,656.64
  5. Step 5: Solve for x
    x = 458,826,656.64/30,729.14
  6. Step 6: Final answer
    x = 14,931.32

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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.