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Finding the Fourth Proportional to 30,564.94, 45,842.49 and 8,373.13

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Solution

The fourth proportional to 30,564.94, 45,842.49 and 8,373.13 is: 12,558.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.94 : 45,842.49 = 8,373.13 : x
  2. Step 2: Convert to fraction form
    30,564.94/45,842.49 = 8,373.13/x
  3. Step 3: Cross multiply
    30,564.94x = 45,842.49 × 8,373.13
  4. Step 4: Simplify right side
    30,564.94x = 383,845,128.29
  5. Step 5: Solve for x
    x = 383,845,128.29/30,564.94
  6. Step 6: Final answer
    x = 12,558.35

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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.