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Finding the Fourth Proportional to 45,114, 62,255.76 and 24,971.76

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Solution

The fourth proportional to 45,114, 62,255.76 and 24,971.76 is: 34,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,114 : 62,255.76 = 24,971.76 : x
  2. Step 2: Convert to fraction form
    45,114/62,255.76 = 24,971.76/x
  3. Step 3: Cross multiply
    45,114x = 62,255.76 × 24,971.76
  4. Step 4: Simplify right side
    45,114x = 1,554,635,897.34
  5. Step 5: Solve for x
    x = 1,554,635,897.34/45,114
  6. Step 6: Final answer
    x = 34,460.17

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