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Finding the Fourth Proportional to 53,089, 79,633.50 and 16,153

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Solution

The fourth proportional to 53,089, 79,633.50 and 16,153 is: 24,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,089 : 79,633.50 = 16,153 : x
  2. Step 2: Convert to fraction form
    53,089/79,633.50 = 16,153/x
  3. Step 3: Cross multiply
    53,089x = 79,633.50 × 16,153
  4. Step 4: Simplify right side
    53,089x = 1,286,319,925.50
  5. Step 5: Solve for x
    x = 1,286,319,925.50/53,089
  6. Step 6: Final answer
    x = 24,229.50

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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.