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Finding the Fourth Proportional to 83,547.87, 115,296.62 and 45,822.39

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Solution

The fourth proportional to 83,547.87, 115,296.62 and 45,822.39 is: 63,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547.87 : 115,296.62 = 45,822.39 : x
  2. Step 2: Convert to fraction form
    83,547.87/115,296.62 = 45,822.39/x
  3. Step 3: Cross multiply
    83,547.87x = 115,296.62 × 45,822.39
  4. Step 4: Simplify right side
    83,547.87x = 5,283,166,225.39
  5. Step 5: Solve for x
    x = 5,283,166,225.39/83,547.87
  6. Step 6: Final answer
    x = 63,235.20

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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.