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Finding the Fourth Proportional to 31,076, 46,614.36 and 7,702.64

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Solution

The fourth proportional to 31,076, 46,614.36 and 7,702.64 is: 11,554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076 : 46,614.36 = 7,702.64 : x
  2. Step 2: Convert to fraction form
    31,076/46,614.36 = 7,702.64/x
  3. Step 3: Cross multiply
    31,076x = 46,614.36 × 7,702.64
  4. Step 4: Simplify right side
    31,076x = 359,053,633.91
  5. Step 5: Solve for x
    x = 359,053,633.91/31,076
  6. Step 6: Final answer
    x = 11,554.05

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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.