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Finding the Fourth Proportional to 122,447.48, 183,658.26 and 39,335

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Solution

The fourth proportional to 122,447.48, 183,658.26 and 39,335 is: 58,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,447.48 : 183,658.26 = 39,335 : x
  2. Step 2: Convert to fraction form
    122,447.48/183,658.26 = 39,335/x
  3. Step 3: Cross multiply
    122,447.48x = 183,658.26 × 39,335
  4. Step 4: Simplify right side
    122,447.48x = 7,224,197,657.10
  5. Step 5: Solve for x
    x = 7,224,197,657.10/122,447.48
  6. Step 6: Final answer
    x = 58,998.34

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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.