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Finding the Fourth Proportional to 70,402.89, 105,595.52 and 23,014.02

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Solution

The fourth proportional to 70,402.89, 105,595.52 and 23,014.02 is: 34,518.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,402.89 : 105,595.52 = 23,014.02 : x
  2. Step 2: Convert to fraction form
    70,402.89/105,595.52 = 23,014.02/x
  3. Step 3: Cross multiply
    70,402.89x = 105,595.52 × 23,014.02
  4. Step 4: Simplify right side
    70,402.89x = 2,430,177,409.19
  5. Step 5: Solve for x
    x = 2,430,177,409.19/70,402.89
  6. Step 6: Final answer
    x = 34,518.15

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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.