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Finding the Fourth Proportional to 97,916.76, 135,113.13 and 54,886.32

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Solution

The fourth proportional to 97,916.76, 135,113.13 and 54,886.32 is: 75,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,916.76 : 135,113.13 = 54,886.32 : x
  2. Step 2: Convert to fraction form
    97,916.76/135,113.13 = 54,886.32/x
  3. Step 3: Cross multiply
    97,916.76x = 135,113.13 × 54,886.32
  4. Step 4: Simplify right side
    97,916.76x = 7,415,862,489.38
  5. Step 5: Solve for x
    x = 7,415,862,489.38/97,916.76
  6. Step 6: Final answer
    x = 75,736.40

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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.