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Finding the Fourth Proportional to 70,113.06, 105,146.91 and 23,355

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Solution

The fourth proportional to 70,113.06, 105,146.91 and 23,355 is: 35,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,113.06 : 105,146.91 = 23,355 : x
  2. Step 2: Convert to fraction form
    70,113.06/105,146.91 = 23,355/x
  3. Step 3: Cross multiply
    70,113.06x = 105,146.91 × 23,355
  4. Step 4: Simplify right side
    70,113.06x = 2,455,706,083.05
  5. Step 5: Solve for x
    x = 2,455,706,083.05/70,113.06
  6. Step 6: Final answer
    x = 35,024.95

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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.