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Finding the Fourth Proportional to 32,572, 48,829.04 and 11,790.88

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Solution

The fourth proportional to 32,572, 48,829.04 and 11,790.88 is: 17,675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,572 : 48,829.04 = 11,790.88 : x
  2. Step 2: Convert to fraction form
    32,572/48,829.04 = 11,790.88/x
  3. Step 3: Cross multiply
    32,572x = 48,829.04 × 11,790.88
  4. Step 4: Simplify right side
    32,572x = 575,737,351.16
  5. Step 5: Solve for x
    x = 575,737,351.16/32,572
  6. Step 6: Final answer
    x = 17,675.84

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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.