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Finding the Fourth Proportional to 61,829.82, 92,751.54 and 19,700.10

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Solution

The fourth proportional to 61,829.82, 92,751.54 and 19,700.10 is: 29,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,829.82 : 92,751.54 = 19,700.10 : x
  2. Step 2: Convert to fraction form
    61,829.82/92,751.54 = 19,700.10/x
  3. Step 3: Cross multiply
    61,829.82x = 92,751.54 × 19,700.10
  4. Step 4: Simplify right side
    61,829.82x = 1,827,214,613.15
  5. Step 5: Solve for x
    x = 1,827,214,613.15/61,829.82
  6. Step 6: Final answer
    x = 29,552.32

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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.