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Finding the Fourth Proportional to 80,837.85, 111,547.71 and 46,857

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Solution

The fourth proportional to 80,837.85, 111,547.71 and 46,857 is: 64,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,837.85 : 111,547.71 = 46,857 : x
  2. Step 2: Convert to fraction form
    80,837.85/111,547.71 = 46,857/x
  3. Step 3: Cross multiply
    80,837.85x = 111,547.71 × 46,857
  4. Step 4: Simplify right side
    80,837.85x = 5,226,791,047.47
  5. Step 5: Solve for x
    x = 5,226,791,047.47/80,837.85
  6. Step 6: Final answer
    x = 64,657.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.