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Finding the Fourth Proportional to 31,029.64, 46,543.92 and 7,656.10

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Solution

The fourth proportional to 31,029.64, 46,543.92 and 7,656.10 is: 11,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,029.64 : 46,543.92 = 7,656.10 : x
  2. Step 2: Convert to fraction form
    31,029.64/46,543.92 = 7,656.10/x
  3. Step 3: Cross multiply
    31,029.64x = 46,543.92 × 7,656.10
  4. Step 4: Simplify right side
    31,029.64x = 356,344,905.91
  5. Step 5: Solve for x
    x = 356,344,905.91/31,029.64
  6. Step 6: Final answer
    x = 11,484.02

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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.