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Finding the Fourth Proportional to 82,168.16, 113,395.44 and 46,358.01

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Solution

The fourth proportional to 82,168.16, 113,395.44 and 46,358.01 is: 63,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,168.16 : 113,395.44 = 46,358.01 : x
  2. Step 2: Convert to fraction form
    82,168.16/113,395.44 = 46,358.01/x
  3. Step 3: Cross multiply
    82,168.16x = 113,395.44 × 46,358.01
  4. Step 4: Simplify right side
    82,168.16x = 5,256,786,941.47
  5. Step 5: Solve for x
    x = 5,256,786,941.47/82,168.16
  6. Step 6: Final answer
    x = 63,975.96

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Why These Related Problems?

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