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Finding the Fourth Proportional to 114,380.40, 171,587.16 and 35,501

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Solution

The fourth proportional to 114,380.40, 171,587.16 and 35,501 is: 53,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,380.40 : 171,587.16 = 35,501 : x
  2. Step 2: Convert to fraction form
    114,380.40/171,587.16 = 35,501/x
  3. Step 3: Cross multiply
    114,380.40x = 171,587.16 × 35,501
  4. Step 4: Simplify right side
    114,380.40x = 6,091,515,767.16
  5. Step 5: Solve for x
    x = 6,091,515,767.16/114,380.40
  6. Step 6: Final answer
    x = 53,256.64

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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.