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Finding the Fourth Proportional to 83,731.71, 115,551.06 and 45,492.01

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Solution

The fourth proportional to 83,731.71, 115,551.06 and 45,492.01 is: 62,779.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,731.71 : 115,551.06 = 45,492.01 : x
  2. Step 2: Convert to fraction form
    83,731.71/115,551.06 = 45,492.01/x
  3. Step 3: Cross multiply
    83,731.71x = 115,551.06 × 45,492.01
  4. Step 4: Simplify right side
    83,731.71x = 5,256,650,226.38
  5. Step 5: Solve for x
    x = 5,256,650,226.38/83,731.71
  6. Step 6: Final answer
    x = 62,779.69

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Why These Related Problems?

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