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Finding the Fourth Proportional to 75,217, 112,877.36 and 25,969

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Solution

The fourth proportional to 75,217, 112,877.36 and 25,969 is: 38,971.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,217 : 112,877.36 = 25,969 : x
  2. Step 2: Convert to fraction form
    75,217/112,877.36 = 25,969/x
  3. Step 3: Cross multiply
    75,217x = 112,877.36 × 25,969
  4. Step 4: Simplify right side
    75,217x = 2,931,312,161.84
  5. Step 5: Solve for x
    x = 2,931,312,161.84/75,217
  6. Step 6: Final answer
    x = 38,971.40

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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.