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Finding the Fourth Proportional to 53,149, 79,718.58 and 16,213

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Solution

The fourth proportional to 53,149, 79,718.58 and 16,213 is: 24,318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,149 : 79,718.58 = 16,213 : x
  2. Step 2: Convert to fraction form
    53,149/79,718.58 = 16,213/x
  3. Step 3: Cross multiply
    53,149x = 79,718.58 × 16,213
  4. Step 4: Simplify right side
    53,149x = 1,292,477,337.54
  5. Step 5: Solve for x
    x = 1,292,477,337.54/53,149
  6. Step 6: Final answer
    x = 24,318.00

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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.