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Finding the Fourth Proportional to 114,425.60, 171,638.40 and 35,547.80

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Solution

The fourth proportional to 114,425.60, 171,638.40 and 35,547.80 is: 53,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,425.60 : 171,638.40 = 35,547.80 : x
  2. Step 2: Convert to fraction form
    114,425.60/171,638.40 = 35,547.80/x
  3. Step 3: Cross multiply
    114,425.60x = 171,638.40 × 35,547.80
  4. Step 4: Simplify right side
    114,425.60x = 6,101,367,515.52
  5. Step 5: Solve for x
    x = 6,101,367,515.52/114,425.60
  6. Step 6: Final answer
    x = 53,321.70

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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.