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Finding the Fourth Proportional to 30,480.84, 45,723.51 and 8,295.93

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Solution

The fourth proportional to 30,480.84, 45,723.51 and 8,295.93 is: 12,444.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480.84 : 45,723.51 = 8,295.93 : x
  2. Step 2: Convert to fraction form
    30,480.84/45,723.51 = 8,295.93/x
  3. Step 3: Cross multiply
    30,480.84x = 45,723.51 × 8,295.93
  4. Step 4: Simplify right side
    30,480.84x = 379,319,038.31
  5. Step 5: Solve for x
    x = 379,319,038.31/30,480.84
  6. Step 6: Final answer
    x = 12,444.51

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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.