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Finding the Fourth Proportional to 122,762.61, 184,143.17 and 31,577.87

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Solution

The fourth proportional to 122,762.61, 184,143.17 and 31,577.87 is: 47,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,762.61 : 184,143.17 = 31,577.87 : x
  2. Step 2: Convert to fraction form
    122,762.61/184,143.17 = 31,577.87/x
  3. Step 3: Cross multiply
    122,762.61x = 184,143.17 × 31,577.87
  4. Step 4: Simplify right side
    122,762.61x = 5,814,849,622.95
  5. Step 5: Solve for x
    x = 5,814,849,622.95/122,762.61
  6. Step 6: Final answer
    x = 47,366.62

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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.