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Finding the Fourth Proportional to 70,411.01, 105,623 and 23,026.35

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Solution

The fourth proportional to 70,411.01, 105,623 and 23,026.35 is: 34,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,411.01 : 105,623 = 23,026.35 : x
  2. Step 2: Convert to fraction form
    70,411.01/105,623 = 23,026.35/x
  3. Step 3: Cross multiply
    70,411.01x = 105,623 × 23,026.35
  4. Step 4: Simplify right side
    70,411.01x = 2,432,112,166.05
  5. Step 5: Solve for x
    x = 2,432,112,166.05/70,411.01
  6. Step 6: Final answer
    x = 34,541.65

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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.