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Finding the Fourth Proportional to 70,685.22, 97,545.36 and 40,470

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Solution

The fourth proportional to 70,685.22, 97,545.36 and 40,470 is: 55,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,685.22 : 97,545.36 = 40,470 : x
  2. Step 2: Convert to fraction form
    70,685.22/97,545.36 = 40,470/x
  3. Step 3: Cross multiply
    70,685.22x = 97,545.36 × 40,470
  4. Step 4: Simplify right side
    70,685.22x = 3,947,660,719.20
  5. Step 5: Solve for x
    x = 3,947,660,719.20/70,685.22
  6. Step 6: Final answer
    x = 55,848.46

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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.