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Finding the Fourth Proportional to 61,851, 92,653.62 and 30,590.84

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Solution

The fourth proportional to 61,851, 92,653.62 and 30,590.84 is: 45,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,851 : 92,653.62 = 30,590.84 : x
  2. Step 2: Convert to fraction form
    61,851/92,653.62 = 30,590.84/x
  3. Step 3: Cross multiply
    61,851x = 92,653.62 × 30,590.84
  4. Step 4: Simplify right side
    61,851x = 2,834,352,064.84
  5. Step 5: Solve for x
    x = 2,834,352,064.84/61,851
  6. Step 6: Final answer
    x = 45,825.48

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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.