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Finding the Fourth Proportional to 117,583.41, 176,435.42 and 57,610.74

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Solution

The fourth proportional to 117,583.41, 176,435.42 and 57,610.74 is: 86,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,583.41 : 176,435.42 = 57,610.74 : x
  2. Step 2: Convert to fraction form
    117,583.41/176,435.42 = 57,610.74/x
  3. Step 3: Cross multiply
    117,583.41x = 176,435.42 × 57,610.74
  4. Step 4: Simplify right side
    117,583.41x = 10,164,575,108.41
  5. Step 5: Solve for x
    x = 10,164,575,108.41/117,583.41
  6. Step 6: Final answer
    x = 86,445.66

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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.