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Finding the Fourth Proportional to 61,796.64, 92,695.08 and 24,852

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Solution

The fourth proportional to 61,796.64, 92,695.08 and 24,852 is: 37,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,796.64 : 92,695.08 = 24,852 : x
  2. Step 2: Convert to fraction form
    61,796.64/92,695.08 = 24,852/x
  3. Step 3: Cross multiply
    61,796.64x = 92,695.08 × 24,852
  4. Step 4: Simplify right side
    61,796.64x = 2,303,658,128.16
  5. Step 5: Solve for x
    x = 2,303,658,128.16/61,796.64
  6. Step 6: Final answer
    x = 37,278.05

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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.