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Finding the Fourth Proportional to 30,370.68, 45,558.18 and 9,594

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Solution

The fourth proportional to 30,370.68, 45,558.18 and 9,594 is: 14,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,370.68 : 45,558.18 = 9,594 : x
  2. Step 2: Convert to fraction form
    30,370.68/45,558.18 = 9,594/x
  3. Step 3: Cross multiply
    30,370.68x = 45,558.18 × 9,594
  4. Step 4: Simplify right side
    30,370.68x = 437,085,178.92
  5. Step 5: Solve for x
    x = 437,085,178.92/30,370.68
  6. Step 6: Final answer
    x = 14,391.68

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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.