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Finding the Fourth Proportional to 30,205.86, 45,337.62 and 18,541.86

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Solution

The fourth proportional to 30,205.86, 45,337.62 and 18,541.86 is: 27,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.86 : 45,337.62 = 18,541.86 : x
  2. Step 2: Convert to fraction form
    30,205.86/45,337.62 = 18,541.86/x
  3. Step 3: Cross multiply
    30,205.86x = 45,337.62 × 18,541.86
  4. Step 4: Simplify right side
    30,205.86x = 840,643,802.77
  5. Step 5: Solve for x
    x = 840,643,802.77/30,205.86
  6. Step 6: Final answer
    x = 27,830.49

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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.