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Finding the Fourth Proportional to 53,802.70, 80,704.05 and 20,970.70

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Solution

The fourth proportional to 53,802.70, 80,704.05 and 20,970.70 is: 31,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802.70 : 80,704.05 = 20,970.70 : x
  2. Step 2: Convert to fraction form
    53,802.70/80,704.05 = 20,970.70/x
  3. Step 3: Cross multiply
    53,802.70x = 80,704.05 × 20,970.70
  4. Step 4: Simplify right side
    53,802.70x = 1,692,420,421.34
  5. Step 5: Solve for x
    x = 1,692,420,421.34/53,802.70
  6. Step 6: Final answer
    x = 31,456.05

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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.