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Finding the Fourth Proportional to 30,690.56, 46,038.46 and 8,503.94

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Solution

The fourth proportional to 30,690.56, 46,038.46 and 8,503.94 is: 12,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,690.56 : 46,038.46 = 8,503.94 : x
  2. Step 2: Convert to fraction form
    30,690.56/46,038.46 = 8,503.94/x
  3. Step 3: Cross multiply
    30,690.56x = 46,038.46 × 8,503.94
  4. Step 4: Simplify right side
    30,690.56x = 391,508,301.53
  5. Step 5: Solve for x
    x = 391,508,301.53/30,690.56
  6. Step 6: Final answer
    x = 12,756.64

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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.