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Finding the Fourth Proportional to 82,911.36, 114,415.02 and 47,109.36

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Solution

The fourth proportional to 82,911.36, 114,415.02 and 47,109.36 is: 65,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,911.36 : 114,415.02 = 47,109.36 : x
  2. Step 2: Convert to fraction form
    82,911.36/114,415.02 = 47,109.36/x
  3. Step 3: Cross multiply
    82,911.36x = 114,415.02 × 47,109.36
  4. Step 4: Simplify right side
    82,911.36x = 5,390,018,366.59
  5. Step 5: Solve for x
    x = 5,390,018,366.59/82,911.36
  6. Step 6: Final answer
    x = 65,009.41

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1.5x scale

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.