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Finding the Fourth Proportional to 58,643.61, 80,927.88 and 31,785.90

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Solution

The fourth proportional to 58,643.61, 80,927.88 and 31,785.90 is: 43,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,643.61 : 80,927.88 = 31,785.90 : x
  2. Step 2: Convert to fraction form
    58,643.61/80,927.88 = 31,785.90/x
  3. Step 3: Cross multiply
    58,643.61x = 80,927.88 × 31,785.90
  4. Step 4: Simplify right side
    58,643.61x = 2,572,365,500.89
  5. Step 5: Solve for x
    x = 2,572,365,500.89/58,643.61
  6. Step 6: Final answer
    x = 43,864.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.