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Finding the Fourth Proportional to 122,688.42, 184,032.54 and 39,582.42

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Solution

The fourth proportional to 122,688.42, 184,032.54 and 39,582.42 is: 59,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,688.42 : 184,032.54 = 39,582.42 : x
  2. Step 2: Convert to fraction form
    122,688.42/184,032.54 = 39,582.42/x
  3. Step 3: Cross multiply
    122,688.42x = 184,032.54 × 39,582.42
  4. Step 4: Simplify right side
    122,688.42x = 7,284,453,291.95
  5. Step 5: Solve for x
    x = 7,284,453,291.95/122,688.42
  6. Step 6: Final answer
    x = 59,373.60

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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.