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Finding the Fourth Proportional to 70,569.08, 105,830.13 and 20,652.02

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Solution

The fourth proportional to 70,569.08, 105,830.13 and 20,652.02 is: 30,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,569.08 : 105,830.13 = 20,652.02 : x
  2. Step 2: Convert to fraction form
    70,569.08/105,830.13 = 20,652.02/x
  3. Step 3: Cross multiply
    70,569.08x = 105,830.13 × 20,652.02
  4. Step 4: Simplify right side
    70,569.08x = 2,185,605,961.36
  5. Step 5: Solve for x
    x = 2,185,605,961.36/70,569.08
  6. Step 6: Final answer
    x = 30,971.16

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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.