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Finding the Fourth Proportional to 31,094.40, 46,643.40 and 8,909.40

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Solution

The fourth proportional to 31,094.40, 46,643.40 and 8,909.40 is: 13,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.40 : 46,643.40 = 8,909.40 : x
  2. Step 2: Convert to fraction form
    31,094.40/46,643.40 = 8,909.40/x
  3. Step 3: Cross multiply
    31,094.40x = 46,643.40 × 8,909.40
  4. Step 4: Simplify right side
    31,094.40x = 415,564,707.96
  5. Step 5: Solve for x
    x = 415,564,707.96/31,094.40
  6. Step 6: Final answer
    x = 13,364.62

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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.