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Finding the Fourth Proportional to 82,412.01, 113,730.81 and 46,607.38

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Solution

The fourth proportional to 82,412.01, 113,730.81 and 46,607.38 is: 64,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,412.01 : 113,730.81 = 46,607.38 : x
  2. Step 2: Convert to fraction form
    82,412.01/113,730.81 = 46,607.38/x
  3. Step 3: Cross multiply
    82,412.01x = 113,730.81 × 46,607.38
  4. Step 4: Simplify right side
    82,412.01x = 5,300,695,079.38
  5. Step 5: Solve for x
    x = 5,300,695,079.38/82,412.01
  6. Step 6: Final answer
    x = 64,319.45

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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.