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Finding the Fourth Proportional to 35,681.60, 53,555.28 and 18,164

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Solution

The fourth proportional to 35,681.60, 53,555.28 and 18,164 is: 27,262.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,681.60 : 53,555.28 = 18,164 : x
  2. Step 2: Convert to fraction form
    35,681.60/53,555.28 = 18,164/x
  3. Step 3: Cross multiply
    35,681.60x = 53,555.28 × 18,164
  4. Step 4: Simplify right side
    35,681.60x = 972,778,105.92
  5. Step 5: Solve for x
    x = 972,778,105.92/35,681.60
  6. Step 6: Final answer
    x = 27,262.74

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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.