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Finding the Fourth Proportional to 83,384.36, 115,088.28 and 53,162.72

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Solution

The fourth proportional to 83,384.36, 115,088.28 and 53,162.72 is: 73,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384.36 : 115,088.28 = 53,162.72 : x
  2. Step 2: Convert to fraction form
    83,384.36/115,088.28 = 53,162.72/x
  3. Step 3: Cross multiply
    83,384.36x = 115,088.28 × 53,162.72
  4. Step 4: Simplify right side
    83,384.36x = 6,118,406,004.92
  5. Step 5: Solve for x
    x = 6,118,406,004.92/83,384.36
  6. Step 6: Final answer
    x = 73,375.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.