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Finding the Fourth Proportional to 65,210.62, 97,815.93 and 34,038.58

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Solution

The fourth proportional to 65,210.62, 97,815.93 and 34,038.58 is: 51,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.62 : 97,815.93 = 34,038.58 : x
  2. Step 2: Convert to fraction form
    65,210.62/97,815.93 = 34,038.58/x
  3. Step 3: Cross multiply
    65,210.62x = 97,815.93 × 34,038.58
  4. Step 4: Simplify right side
    65,210.62x = 3,329,515,358.58
  5. Step 5: Solve for x
    x = 3,329,515,358.58/65,210.62
  6. Step 6: Final answer
    x = 51,057.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.