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Finding the Fourth Proportional to 30,844.34, 46,268.16 and 9,785.98

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Solution

The fourth proportional to 30,844.34, 46,268.16 and 9,785.98 is: 14,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,844.34 : 46,268.16 = 9,785.98 : x
  2. Step 2: Convert to fraction form
    30,844.34/46,268.16 = 9,785.98/x
  3. Step 3: Cross multiply
    30,844.34x = 46,268.16 × 9,785.98
  4. Step 4: Simplify right side
    30,844.34x = 452,779,288.40
  5. Step 5: Solve for x
    x = 452,779,288.40/30,844.34
  6. Step 6: Final answer
    x = 14,679.49

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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.