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Finding the Fourth Proportional to 58,296.96, 87,407.76 and 31,994.64

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Solution

The fourth proportional to 58,296.96, 87,407.76 and 31,994.64 is: 47,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,296.96 : 87,407.76 = 31,994.64 : x
  2. Step 2: Convert to fraction form
    58,296.96/87,407.76 = 31,994.64/x
  3. Step 3: Cross multiply
    58,296.96x = 87,407.76 × 31,994.64
  4. Step 4: Simplify right side
    58,296.96x = 2,796,579,814.41
  5. Step 5: Solve for x
    x = 2,796,579,814.41/58,296.96
  6. Step 6: Final answer
    x = 47,971.28

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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.