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Finding the Fourth Proportional to 51,352, 77,040.98 and 14,416

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Solution

The fourth proportional to 51,352, 77,040.98 and 14,416 is: 21,627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,352 : 77,040.98 = 14,416 : x
  2. Step 2: Convert to fraction form
    51,352/77,040.98 = 14,416/x
  3. Step 3: Cross multiply
    51,352x = 77,040.98 × 14,416
  4. Step 4: Simplify right side
    51,352x = 1,110,622,767.68
  5. Step 5: Solve for x
    x = 1,110,622,767.68/51,352
  6. Step 6: Final answer
    x = 21,627.64

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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.