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Finding the Fourth Proportional to 82,746.36, 114,189.66 and 45,021.24

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Solution

The fourth proportional to 82,746.36, 114,189.66 and 45,021.24 is: 62,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,746.36 : 114,189.66 = 45,021.24 : x
  2. Step 2: Convert to fraction form
    82,746.36/114,189.66 = 45,021.24/x
  3. Step 3: Cross multiply
    82,746.36x = 114,189.66 × 45,021.24
  4. Step 4: Simplify right side
    82,746.36x = 5,140,960,088.38
  5. Step 5: Solve for x
    x = 5,140,960,088.38/82,746.36
  6. Step 6: Final answer
    x = 62,129.14

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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.