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Finding the Fourth Proportional to 67,412, 101,117.64 and 17,492.06

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Solution

The fourth proportional to 67,412, 101,117.64 and 17,492.06 is: 26,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,412 : 101,117.64 = 17,492.06 : x
  2. Step 2: Convert to fraction form
    67,412/101,117.64 = 17,492.06/x
  3. Step 3: Cross multiply
    67,412x = 101,117.64 × 17,492.06
  4. Step 4: Simplify right side
    67,412x = 1,768,755,825.94
  5. Step 5: Solve for x
    x = 1,768,755,825.94/67,412
  6. Step 6: Final answer
    x = 26,238.00

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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.