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Finding the Fourth Proportional to 122,888.48, 184,362 and 39,782.48

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Solution

The fourth proportional to 122,888.48, 184,362 and 39,782.48 is: 59,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,888.48 : 184,362 = 39,782.48 : x
  2. Step 2: Convert to fraction form
    122,888.48/184,362 = 39,782.48/x
  3. Step 3: Cross multiply
    122,888.48x = 184,362 × 39,782.48
  4. Step 4: Simplify right side
    122,888.48x = 7,334,377,577.76
  5. Step 5: Solve for x
    x = 7,334,377,577.76/122,888.48
  6. Step 6: Final answer
    x = 59,683.20

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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.