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Finding the Fourth Proportional to 70,534.96, 105,803.06 and 17,944.50

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Solution

The fourth proportional to 70,534.96, 105,803.06 and 17,944.50 is: 26,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,534.96 : 105,803.06 = 17,944.50 : x
  2. Step 2: Convert to fraction form
    70,534.96/105,803.06 = 17,944.50/x
  3. Step 3: Cross multiply
    70,534.96x = 105,803.06 × 17,944.50
  4. Step 4: Simplify right side
    70,534.96x = 1,898,583,010.17
  5. Step 5: Solve for x
    x = 1,898,583,010.17/70,534.96
  6. Step 6: Final answer
    x = 26,916.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.