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Finding the Fourth Proportional to 34,762.34, 47,946.54 and 22,821.32

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Solution

The fourth proportional to 34,762.34, 47,946.54 and 22,821.32 is: 31,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,762.34 : 47,946.54 = 22,821.32 : x
  2. Step 2: Convert to fraction form
    34,762.34/47,946.54 = 22,821.32/x
  3. Step 3: Cross multiply
    34,762.34x = 47,946.54 × 22,821.32
  4. Step 4: Simplify right side
    34,762.34x = 1,094,203,332.23
  5. Step 5: Solve for x
    x = 1,094,203,332.23/34,762.34
  6. Step 6: Final answer
    x = 31,476.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.