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Finding the Fourth Proportional to 122,707.16, 184,055.46 and 38,465.43

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Solution

The fourth proportional to 122,707.16, 184,055.46 and 38,465.43 is: 57,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,707.16 : 184,055.46 = 38,465.43 : x
  2. Step 2: Convert to fraction form
    122,707.16/184,055.46 = 38,465.43/x
  3. Step 3: Cross multiply
    122,707.16x = 184,055.46 × 38,465.43
  4. Step 4: Simplify right side
    122,707.16x = 7,079,772,412.75
  5. Step 5: Solve for x
    x = 7,079,772,412.75/122,707.16
  6. Step 6: Final answer
    x = 57,696.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.