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Finding the Fourth Proportional to 30,009.87, 41,416.05 and 16,582.30

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Solution

The fourth proportional to 30,009.87, 41,416.05 and 16,582.30 is: 22,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.87 : 41,416.05 = 16,582.30 : x
  2. Step 2: Convert to fraction form
    30,009.87/41,416.05 = 16,582.30/x
  3. Step 3: Cross multiply
    30,009.87x = 41,416.05 × 16,582.30
  4. Step 4: Simplify right side
    30,009.87x = 686,773,283.00
  5. Step 5: Solve for x
    x = 686,773,283.00/30,009.87
  6. Step 6: Final answer
    x = 22,884.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.