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Finding the Fourth Proportional to 75,347.58, 103,983.75 and 41,814.30

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Solution

The fourth proportional to 75,347.58, 103,983.75 and 41,814.30 is: 57,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,347.58 : 103,983.75 = 41,814.30 : x
  2. Step 2: Convert to fraction form
    75,347.58/103,983.75 = 41,814.30/x
  3. Step 3: Cross multiply
    75,347.58x = 103,983.75 × 41,814.30
  4. Step 4: Simplify right side
    75,347.58x = 4,348,007,717.63
  5. Step 5: Solve for x
    x = 4,348,007,717.63/75,347.58
  6. Step 6: Final answer
    x = 57,706.00

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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.