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Finding the Fourth Proportional to 83,437.47, 115,143.02 and 45,196.13

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Solution

The fourth proportional to 83,437.47, 115,143.02 and 45,196.13 is: 62,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,437.47 : 115,143.02 = 45,196.13 : x
  2. Step 2: Convert to fraction form
    83,437.47/115,143.02 = 45,196.13/x
  3. Step 3: Cross multiply
    83,437.47x = 115,143.02 × 45,196.13
  4. Step 4: Simplify right side
    83,437.47x = 5,204,018,900.51
  5. Step 5: Solve for x
    x = 5,204,018,900.51/83,437.47
  6. Step 6: Final answer
    x = 62,370.29

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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.