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Finding the Fourth Proportional to 83,079.81, 114,649.47 and 45,354.06

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Solution

The fourth proportional to 83,079.81, 114,649.47 and 45,354.06 is: 62,588.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,079.81 : 114,649.47 = 45,354.06 : x
  2. Step 2: Convert to fraction form
    83,079.81/114,649.47 = 45,354.06/x
  3. Step 3: Cross multiply
    83,079.81x = 114,649.47 × 45,354.06
  4. Step 4: Simplify right side
    83,079.81x = 5,199,818,941.35
  5. Step 5: Solve for x
    x = 5,199,818,941.35/83,079.81
  6. Step 6: Final answer
    x = 62,588.24

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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.