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Finding the Fourth Proportional to 122,829.60, 184,341.60 and 47,985.60

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Solution

The fourth proportional to 122,829.60, 184,341.60 and 47,985.60 is: 72,016.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,829.60 : 184,341.60 = 47,985.60 : x
  2. Step 2: Convert to fraction form
    122,829.60/184,341.60 = 47,985.60/x
  3. Step 3: Cross multiply
    122,829.60x = 184,341.60 × 47,985.60
  4. Step 4: Simplify right side
    122,829.60x = 8,845,742,280.96
  5. Step 5: Solve for x
    x = 8,845,742,280.96/122,829.60
  6. Step 6: Final answer
    x = 72,016.37

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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.