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Finding the Fourth Proportional to 53,020, 79,530.48 and 16,084

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Solution

The fourth proportional to 53,020, 79,530.48 and 16,084 is: 24,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,020 : 79,530.48 = 16,084 : x
  2. Step 2: Convert to fraction form
    53,020/79,530.48 = 16,084/x
  3. Step 3: Cross multiply
    53,020x = 79,530.48 × 16,084
  4. Step 4: Simplify right side
    53,020x = 1,279,168,240.32
  5. Step 5: Solve for x
    x = 1,279,168,240.32/53,020
  6. Step 6: Final answer
    x = 24,126.15

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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.