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Finding the Fourth Proportional to 65,898, 98,599 and 46,214.96

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Solution

The fourth proportional to 65,898, 98,599 and 46,214.96 is: 69,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898 : 98,599 = 46,214.96 : x
  2. Step 2: Convert to fraction form
    65,898/98,599 = 46,214.96/x
  3. Step 3: Cross multiply
    65,898x = 98,599 × 46,214.96
  4. Step 4: Simplify right side
    65,898x = 4,556,748,841.04
  5. Step 5: Solve for x
    x = 4,556,748,841.04/65,898
  6. Step 6: Final answer
    x = 69,148.51

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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.