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Finding the Fourth Proportional to 82,142.16, 113,355.64 and 46,332.48

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Solution

The fourth proportional to 82,142.16, 113,355.64 and 46,332.48 is: 63,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.16 : 113,355.64 = 46,332.48 : x
  2. Step 2: Convert to fraction form
    82,142.16/113,355.64 = 46,332.48/x
  3. Step 3: Cross multiply
    82,142.16x = 113,355.64 × 46,332.48
  4. Step 4: Simplify right side
    82,142.16x = 5,252,047,923.19
  5. Step 5: Solve for x
    x = 5,252,047,923.19/82,142.16
  6. Step 6: Final answer
    x = 63,938.52

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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.