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Finding the Fourth Proportional to 32,509.49, 48,763.76 and 10,322.54

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Solution

The fourth proportional to 32,509.49, 48,763.76 and 10,322.54 is: 15,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.49 : 48,763.76 = 10,322.54 : x
  2. Step 2: Convert to fraction form
    32,509.49/48,763.76 = 10,322.54/x
  3. Step 3: Cross multiply
    32,509.49x = 48,763.76 × 10,322.54
  4. Step 4: Simplify right side
    32,509.49x = 503,365,750.58
  5. Step 5: Solve for x
    x = 503,365,750.58/32,509.49
  6. Step 6: Final answer
    x = 15,483.66

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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.