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Finding the Fourth Proportional to 72,809.63, 109,214.40 and 20,219.10

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Solution

The fourth proportional to 72,809.63, 109,214.40 and 20,219.10 is: 30,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,809.63 : 109,214.40 = 20,219.10 : x
  2. Step 2: Convert to fraction form
    72,809.63/109,214.40 = 20,219.10/x
  3. Step 3: Cross multiply
    72,809.63x = 109,214.40 × 20,219.10
  4. Step 4: Simplify right side
    72,809.63x = 2,208,216,875.04
  5. Step 5: Solve for x
    x = 2,208,216,875.04/72,809.63
  6. Step 6: Final answer
    x = 30,328.64

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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.