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Finding the Fourth Proportional to 70,823.92, 106,301.48 and 35,788.16

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Solution

The fourth proportional to 70,823.92, 106,301.48 and 35,788.16 is: 53,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,823.92 : 106,301.48 = 35,788.16 : x
  2. Step 2: Convert to fraction form
    70,823.92/106,301.48 = 35,788.16/x
  3. Step 3: Cross multiply
    70,823.92x = 106,301.48 × 35,788.16
  4. Step 4: Simplify right side
    70,823.92x = 3,804,334,374.48
  5. Step 5: Solve for x
    x = 3,804,334,374.48/70,823.92
  6. Step 6: Final answer
    x = 53,715.39

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1.5x scale

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.