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Finding the Fourth Proportional to 114,381.64, 171,595.40 and 39,504.53

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Solution

The fourth proportional to 114,381.64, 171,595.40 and 39,504.53 is: 59,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,381.64 : 171,595.40 = 39,504.53 : x
  2. Step 2: Convert to fraction form
    114,381.64/171,595.40 = 39,504.53/x
  3. Step 3: Cross multiply
    114,381.64x = 171,595.40 × 39,504.53
  4. Step 4: Simplify right side
    114,381.64x = 6,778,795,858.63
  5. Step 5: Solve for x
    x = 6,778,795,858.63/114,381.64
  6. Step 6: Final answer
    x = 59,264.72

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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.