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Finding the Fourth Proportional to 120,985.52, 181,478.28 and 37,886

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Solution

The fourth proportional to 120,985.52, 181,478.28 and 37,886 is: 56,829

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,985.52 : 181,478.28 = 37,886 : x
  2. Step 2: Convert to fraction form
    120,985.52/181,478.28 = 37,886/x
  3. Step 3: Cross multiply
    120,985.52x = 181,478.28 × 37,886
  4. Step 4: Simplify right side
    120,985.52x = 6,875,486,116.08
  5. Step 5: Solve for x
    x = 6,875,486,116.08/120,985.52
  6. Step 6: Final answer
    x = 56,829

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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.