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Finding the Fourth Proportional to 34,284.86, 47,308.38 and 19,176.74

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Solution

The fourth proportional to 34,284.86, 47,308.38 and 19,176.74 is: 26,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284.86 : 47,308.38 = 19,176.74 : x
  2. Step 2: Convert to fraction form
    34,284.86/47,308.38 = 19,176.74/x
  3. Step 3: Cross multiply
    34,284.86x = 47,308.38 × 19,176.74
  4. Step 4: Simplify right side
    34,284.86x = 907,220,503.08
  5. Step 5: Solve for x
    x = 907,220,503.08/34,284.86
  6. Step 6: Final answer
    x = 26,461.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.