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Finding the Fourth Proportional to 32,497.98, 48,746.75 and 9,124.44

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Solution

The fourth proportional to 32,497.98, 48,746.75 and 9,124.44 is: 13,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,497.98 : 48,746.75 = 9,124.44 : x
  2. Step 2: Convert to fraction form
    32,497.98/48,746.75 = 9,124.44/x
  3. Step 3: Cross multiply
    32,497.98x = 48,746.75 × 9,124.44
  4. Step 4: Simplify right side
    32,497.98x = 444,786,749.95
  5. Step 5: Solve for x
    x = 444,786,749.95/32,497.98
  6. Step 6: Final answer
    x = 13,686.60

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1.5x scale

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.