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Finding the Fourth Proportional to 30,522.88, 45,785.50 and 9,465.08

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Solution

The fourth proportional to 30,522.88, 45,785.50 and 9,465.08 is: 14,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.88 : 45,785.50 = 9,465.08 : x
  2. Step 2: Convert to fraction form
    30,522.88/45,785.50 = 9,465.08/x
  3. Step 3: Cross multiply
    30,522.88x = 45,785.50 × 9,465.08
  4. Step 4: Simplify right side
    30,522.88x = 433,363,420.34
  5. Step 5: Solve for x
    x = 433,363,420.34/30,522.88
  6. Step 6: Final answer
    x = 14,197.99

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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.