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Finding the Fourth Proportional to 31,133.64, 46,700.27 and 14,484.50

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Solution

The fourth proportional to 31,133.64, 46,700.27 and 14,484.50 is: 21,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.64 : 46,700.27 = 14,484.50 : x
  2. Step 2: Convert to fraction form
    31,133.64/46,700.27 = 14,484.50/x
  3. Step 3: Cross multiply
    31,133.64x = 46,700.27 × 14,484.50
  4. Step 4: Simplify right side
    31,133.64x = 676,430,060.82
  5. Step 5: Solve for x
    x = 676,430,060.82/31,133.64
  6. Step 6: Final answer
    x = 21,726.66

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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.