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Finding the Fourth Proportional to 45,464, 62,741.28 and 25,592

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Solution

The fourth proportional to 45,464, 62,741.28 and 25,592 is: 35,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,464 : 62,741.28 = 25,592 : x
  2. Step 2: Convert to fraction form
    45,464/62,741.28 = 25,592/x
  3. Step 3: Cross multiply
    45,464x = 62,741.28 × 25,592
  4. Step 4: Simplify right side
    45,464x = 1,605,674,837.76
  5. Step 5: Solve for x
    x = 1,605,674,837.76/45,464
  6. Step 6: Final answer
    x = 35,317.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.