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Finding the Fourth Proportional to 98,014, 135,259.32 and 53,302

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Solution

The fourth proportional to 98,014, 135,259.32 and 53,302 is: 73,556.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,014 : 135,259.32 = 53,302 : x
  2. Step 2: Convert to fraction form
    98,014/135,259.32 = 53,302/x
  3. Step 3: Cross multiply
    98,014x = 135,259.32 × 53,302
  4. Step 4: Simplify right side
    98,014x = 7,209,592,274.64
  5. Step 5: Solve for x
    x = 7,209,592,274.64/98,014
  6. Step 6: Final answer
    x = 73,556.76

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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.