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Finding the Fourth Proportional to 80,970.51, 121,459.41 and 24,806.52

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Solution

The fourth proportional to 80,970.51, 121,459.41 and 24,806.52 is: 37,210.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,970.51 : 121,459.41 = 24,806.52 : x
  2. Step 2: Convert to fraction form
    80,970.51/121,459.41 = 24,806.52/x
  3. Step 3: Cross multiply
    80,970.51x = 121,459.41 × 24,806.52
  4. Step 4: Simplify right side
    80,970.51x = 3,012,985,283.35
  5. Step 5: Solve for x
    x = 3,012,985,283.35/80,970.51
  6. Step 6: Final answer
    x = 37,210.90

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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.