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Finding the Fourth Proportional to 61,582.86, 92,374.14 and 47,563.26

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Solution

The fourth proportional to 61,582.86, 92,374.14 and 47,563.26 is: 71,344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,582.86 : 92,374.14 = 47,563.26 : x
  2. Step 2: Convert to fraction form
    61,582.86/92,374.14 = 47,563.26/x
  3. Step 3: Cross multiply
    61,582.86x = 92,374.14 × 47,563.26
  4. Step 4: Simplify right side
    61,582.86x = 4,393,615,238.10
  5. Step 5: Solve for x
    x = 4,393,615,238.10/61,582.86
  6. Step 6: Final answer
    x = 71,344.77

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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.