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Finding the Fourth Proportional to 55,243.92, 82,807.16 and 37,670.16

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Solution

The fourth proportional to 55,243.92, 82,807.16 and 37,670.16 is: 56,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,243.92 : 82,807.16 = 37,670.16 : x
  2. Step 2: Convert to fraction form
    55,243.92/82,807.16 = 37,670.16/x
  3. Step 3: Cross multiply
    55,243.92x = 82,807.16 × 37,670.16
  4. Step 4: Simplify right side
    55,243.92x = 3,119,358,966.35
  5. Step 5: Solve for x
    x = 3,119,358,966.35/55,243.92
  6. Step 6: Final answer
    x = 56,465.20

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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.