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Finding the Fourth Proportional to 92,509.74, 127,663.84 and 52,223.98

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Solution

The fourth proportional to 92,509.74, 127,663.84 and 52,223.98 is: 72,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,509.74 : 127,663.84 = 52,223.98 : x
  2. Step 2: Convert to fraction form
    92,509.74/127,663.84 = 52,223.98/x
  3. Step 3: Cross multiply
    92,509.74x = 127,663.84 × 52,223.98
  4. Step 4: Simplify right side
    92,509.74x = 6,667,113,826.88
  5. Step 5: Solve for x
    x = 6,667,113,826.88/92,509.74
  6. Step 6: Final answer
    x = 72,069.32

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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.