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Finding the Fourth Proportional to 34,308, 51,460.48 and 13,258.08

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Solution

The fourth proportional to 34,308, 51,460.48 and 13,258.08 is: 19,886.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,308 : 51,460.48 = 13,258.08 : x
  2. Step 2: Convert to fraction form
    34,308/51,460.48 = 13,258.08/x
  3. Step 3: Cross multiply
    34,308x = 51,460.48 × 13,258.08
  4. Step 4: Simplify right side
    34,308x = 682,267,160.68
  5. Step 5: Solve for x
    x = 682,267,160.68/34,308
  6. Step 6: Final answer
    x = 19,886.53

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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.