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Finding the Fourth Proportional to 83,090.61, 114,664.43 and 45,364.86

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Solution

The fourth proportional to 83,090.61, 114,664.43 and 45,364.86 is: 62,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090.61 : 114,664.43 = 45,364.86 : x
  2. Step 2: Convert to fraction form
    83,090.61/114,664.43 = 45,364.86/x
  3. Step 3: Cross multiply
    83,090.61x = 114,664.43 × 45,364.86
  4. Step 4: Simplify right side
    83,090.61x = 5,201,735,587.11
  5. Step 5: Solve for x
    x = 5,201,735,587.11/83,090.61
  6. Step 6: Final answer
    x = 62,603.17

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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.