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Finding the Fourth Proportional to 122,706.66, 184,054.71 and 38,464.93

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Solution

The fourth proportional to 122,706.66, 184,054.71 and 38,464.93 is: 57,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,706.66 : 184,054.71 = 38,464.93 : x
  2. Step 2: Convert to fraction form
    122,706.66/184,054.71 = 38,464.93/x
  3. Step 3: Cross multiply
    122,706.66x = 184,054.71 × 38,464.93
  4. Step 4: Simplify right side
    122,706.66x = 7,079,651,536.32
  5. Step 5: Solve for x
    x = 7,079,651,536.32/122,706.66
  6. Step 6: Final answer
    x = 57,695.74

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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.