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Finding the Fourth Proportional to 29,312.59, 43,978.30 and 9,586.66

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Solution

The fourth proportional to 29,312.59, 43,978.30 and 9,586.66 is: 14,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,312.59 : 43,978.30 = 9,586.66 : x
  2. Step 2: Convert to fraction form
    29,312.59/43,978.30 = 9,586.66/x
  3. Step 3: Cross multiply
    29,312.59x = 43,978.30 × 9,586.66
  4. Step 4: Simplify right side
    29,312.59x = 421,605,009.48
  5. Step 5: Solve for x
    x = 421,605,009.48/29,312.59
  6. Step 6: Final answer
    x = 14,383.07

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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.