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Finding the Fourth Proportional to 56,174.40, 77,525.76 and 31,032

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Solution

The fourth proportional to 56,174.40, 77,525.76 and 31,032 is: 42,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,174.40 : 77,525.76 = 31,032 : x
  2. Step 2: Convert to fraction form
    56,174.40/77,525.76 = 31,032/x
  3. Step 3: Cross multiply
    56,174.40x = 77,525.76 × 31,032
  4. Step 4: Simplify right side
    56,174.40x = 2,405,779,384.32
  5. Step 5: Solve for x
    x = 2,405,779,384.32/56,174.40
  6. Step 6: Final answer
    x = 42,826.97

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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.