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Finding the Fourth Proportional to 61,477.70, 92,216.55 and 31,953.20

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Solution

The fourth proportional to 61,477.70, 92,216.55 and 31,953.20 is: 47,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,477.70 : 92,216.55 = 31,953.20 : x
  2. Step 2: Convert to fraction form
    61,477.70/92,216.55 = 31,953.20/x
  3. Step 3: Cross multiply
    61,477.70x = 92,216.55 × 31,953.20
  4. Step 4: Simplify right side
    61,477.70x = 2,946,613,865.46
  5. Step 5: Solve for x
    x = 2,946,613,865.46/61,477.70
  6. Step 6: Final answer
    x = 47,929.80

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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.