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Finding the Fourth Proportional to 32,370.50, 48,559.80 and 11,594

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Solution

The fourth proportional to 32,370.50, 48,559.80 and 11,594 is: 17,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,370.50 : 48,559.80 = 11,594 : x
  2. Step 2: Convert to fraction form
    32,370.50/48,559.80 = 11,594/x
  3. Step 3: Cross multiply
    32,370.50x = 48,559.80 × 11,594
  4. Step 4: Simplify right side
    32,370.50x = 563,002,321.20
  5. Step 5: Solve for x
    x = 563,002,321.20/32,370.50
  6. Step 6: Final answer
    x = 17,392.45

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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.