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Finding the Fourth Proportional to 53,084.96, 79,638.96 and 16,148

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Solution

The fourth proportional to 53,084.96, 79,638.96 and 16,148 is: 24,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,084.96 : 79,638.96 = 16,148 : x
  2. Step 2: Convert to fraction form
    53,084.96/79,638.96 = 16,148/x
  3. Step 3: Cross multiply
    53,084.96x = 79,638.96 × 16,148
  4. Step 4: Simplify right side
    53,084.96x = 1,286,009,926.08
  5. Step 5: Solve for x
    x = 1,286,009,926.08/53,084.96
  6. Step 6: Final answer
    x = 24,225.50

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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.