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Finding the Fourth Proportional to 64,877.50, 97,316.34 and 15,629.50

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Solution

The fourth proportional to 64,877.50, 97,316.34 and 15,629.50 is: 23,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,877.50 : 97,316.34 = 15,629.50 : x
  2. Step 2: Convert to fraction form
    64,877.50/97,316.34 = 15,629.50/x
  3. Step 3: Cross multiply
    64,877.50x = 97,316.34 × 15,629.50
  4. Step 4: Simplify right side
    64,877.50x = 1,521,005,736.03
  5. Step 5: Solve for x
    x = 1,521,005,736.03/64,877.50
  6. Step 6: Final answer
    x = 23,444.27

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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.