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Finding the Fourth Proportional to 30,584.16, 45,779.04 and 16,524.18

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Solution

The fourth proportional to 30,584.16, 45,779.04 and 16,524.18 is: 24,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,584.16 : 45,779.04 = 16,524.18 : x
  2. Step 2: Convert to fraction form
    30,584.16/45,779.04 = 16,524.18/x
  3. Step 3: Cross multiply
    30,584.16x = 45,779.04 × 16,524.18
  4. Step 4: Simplify right side
    30,584.16x = 756,461,097.19
  5. Step 5: Solve for x
    x = 756,461,097.19/30,584.16
  6. Step 6: Final answer
    x = 24,733.75

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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.