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Finding the Fourth Proportional to 32,483.75, 48,717 and 12,762.47

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Solution

The fourth proportional to 32,483.75, 48,717 and 12,762.47 is: 19,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.75 : 48,717 = 12,762.47 : x
  2. Step 2: Convert to fraction form
    32,483.75/48,717 = 12,762.47/x
  3. Step 3: Cross multiply
    32,483.75x = 48,717 × 12,762.47
  4. Step 4: Simplify right side
    32,483.75x = 621,749,372.78
  5. Step 5: Solve for x
    x = 621,749,372.78/32,483.75
  6. Step 6: Final answer
    x = 19,140.32

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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.