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Finding the Fourth Proportional to 65,213, 97,753.26 and 25,715.88

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Solution

The fourth proportional to 65,213, 97,753.26 and 25,715.88 is: 38,547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213 : 97,753.26 = 25,715.88 : x
  2. Step 2: Convert to fraction form
    65,213/97,753.26 = 25,715.88/x
  3. Step 3: Cross multiply
    65,213x = 97,753.26 × 25,715.88
  4. Step 4: Simplify right side
    65,213x = 2,513,811,103.77
  5. Step 5: Solve for x
    x = 2,513,811,103.77/65,213
  6. Step 6: Final answer
    x = 38,547.70

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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.