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Finding the Fourth Proportional to 30,532.88, 45,762.36 and 15,733.70

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Solution

The fourth proportional to 30,532.88, 45,762.36 and 15,733.70 is: 23,581.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.88 : 45,762.36 = 15,733.70 : x
  2. Step 2: Convert to fraction form
    30,532.88/45,762.36 = 15,733.70/x
  3. Step 3: Cross multiply
    30,532.88x = 45,762.36 × 15,733.70
  4. Step 4: Simplify right side
    30,532.88x = 720,011,243.53
  5. Step 5: Solve for x
    x = 720,011,243.53/30,532.88
  6. Step 6: Final answer
    x = 23,581.50

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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.