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Finding the Fourth Proportional to 64,930.68, 97,409.25 and 24,948

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Solution

The fourth proportional to 64,930.68, 97,409.25 and 24,948 is: 37,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,930.68 : 97,409.25 = 24,948 : x
  2. Step 2: Convert to fraction form
    64,930.68/97,409.25 = 24,948/x
  3. Step 3: Cross multiply
    64,930.68x = 97,409.25 × 24,948
  4. Step 4: Simplify right side
    64,930.68x = 2,430,165,969
  5. Step 5: Solve for x
    x = 2,430,165,969/64,930.68
  6. Step 6: Final answer
    x = 37,427.08

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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.