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Finding the Fourth Proportional to 74,534.50, 102,859.77 and 41,000.50

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Solution

The fourth proportional to 74,534.50, 102,859.77 and 41,000.50 is: 56,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,534.50 : 102,859.77 = 41,000.50 : x
  2. Step 2: Convert to fraction form
    74,534.50/102,859.77 = 41,000.50/x
  3. Step 3: Cross multiply
    74,534.50x = 102,859.77 × 41,000.50
  4. Step 4: Simplify right side
    74,534.50x = 4,217,301,999.89
  5. Step 5: Solve for x
    x = 4,217,301,999.89/74,534.50
  6. Step 6: Final answer
    x = 56,581.88

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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.