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Finding the Fourth Proportional to 61,288.46, 84,564.90 and 35,783.22

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Solution

The fourth proportional to 61,288.46, 84,564.90 and 35,783.22 is: 49,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,288.46 : 84,564.90 = 35,783.22 : x
  2. Step 2: Convert to fraction form
    61,288.46/84,564.90 = 35,783.22/x
  3. Step 3: Cross multiply
    61,288.46x = 84,564.90 × 35,783.22
  4. Step 4: Simplify right side
    61,288.46x = 3,026,004,420.98
  5. Step 5: Solve for x
    x = 3,026,004,420.98/61,288.46
  6. Step 6: Final answer
    x = 49,373.16

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Why These Related Problems?

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