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Finding the Fourth Proportional to 97,765.74, 134,916.72 and 53,053.74

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Solution

The fourth proportional to 97,765.74, 134,916.72 and 53,053.74 is: 73,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765.74 : 134,916.72 = 53,053.74 : x
  2. Step 2: Convert to fraction form
    97,765.74/134,916.72 = 53,053.74/x
  3. Step 3: Cross multiply
    97,765.74x = 134,916.72 × 53,053.74
  4. Step 4: Simplify right side
    97,765.74x = 7,157,836,584.53
  5. Step 5: Solve for x
    x = 7,157,836,584.53/97,765.74
  6. Step 6: Final answer
    x = 73,214.16

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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.