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Finding the Fourth Proportional to 30,571.60, 45,870.58 and 16,541.50

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Solution

The fourth proportional to 30,571.60, 45,870.58 and 16,541.50 is: 24,819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.60 : 45,870.58 = 16,541.50 : x
  2. Step 2: Convert to fraction form
    30,571.60/45,870.58 = 16,541.50/x
  3. Step 3: Cross multiply
    30,571.60x = 45,870.58 × 16,541.50
  4. Step 4: Simplify right side
    30,571.60x = 758,768,199.07
  5. Step 5: Solve for x
    x = 758,768,199.07/30,571.60
  6. Step 6: Final answer
    x = 24,819.38

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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.