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Finding the Fourth Proportional to 82,239.28, 113,484.68 and 46,430.80

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Solution

The fourth proportional to 82,239.28, 113,484.68 and 46,430.80 is: 64,071.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,239.28 : 113,484.68 = 46,430.80 : x
  2. Step 2: Convert to fraction form
    82,239.28/113,484.68 = 46,430.80/x
  3. Step 3: Cross multiply
    82,239.28x = 113,484.68 × 46,430.80
  4. Step 4: Simplify right side
    82,239.28x = 5,269,184,480.14
  5. Step 5: Solve for x
    x = 5,269,184,480.14/82,239.28
  6. Step 6: Final answer
    x = 64,071.38

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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.