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Finding the Fourth Proportional to 121,055.68, 181,582.94 and 31,098.32

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Solution

The fourth proportional to 121,055.68, 181,582.94 and 31,098.32 is: 46,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,055.68 : 181,582.94 = 31,098.32 : x
  2. Step 2: Convert to fraction form
    121,055.68/181,582.94 = 31,098.32/x
  3. Step 3: Cross multiply
    121,055.68x = 181,582.94 × 31,098.32
  4. Step 4: Simplify right side
    121,055.68x = 5,646,924,374.66
  5. Step 5: Solve for x
    x = 5,646,924,374.66/121,055.68
  6. Step 6: Final answer
    x = 46,647.33

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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.