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Finding the Fourth Proportional to 30,542.36, 45,830.70 and 16,502.12

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Solution

The fourth proportional to 30,542.36, 45,830.70 and 16,502.12 is: 24,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.36 : 45,830.70 = 16,502.12 : x
  2. Step 2: Convert to fraction form
    30,542.36/45,830.70 = 16,502.12/x
  3. Step 3: Cross multiply
    30,542.36x = 45,830.70 × 16,502.12
  4. Step 4: Simplify right side
    30,542.36x = 756,303,711.08
  5. Step 5: Solve for x
    x = 756,303,711.08/30,542.36
  6. Step 6: Final answer
    x = 24,762.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.