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Finding the Fourth Proportional to 121,049, 181,602.66 and 37,943

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Solution

The fourth proportional to 121,049, 181,602.66 and 37,943 is: 56,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,049 : 181,602.66 = 37,943 : x
  2. Step 2: Convert to fraction form
    121,049/181,602.66 = 37,943/x
  3. Step 3: Cross multiply
    121,049x = 181,602.66 × 37,943
  4. Step 4: Simplify right side
    121,049x = 6,890,549,728.38
  5. Step 5: Solve for x
    x = 6,890,549,728.38/121,049
  6. Step 6: Final answer
    x = 56,923.64

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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.