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Finding the Fourth Proportional to 92,421.84, 127,574.82 and 54,696

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Solution

The fourth proportional to 92,421.84, 127,574.82 and 54,696 is: 75,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,421.84 : 127,574.82 = 54,696 : x
  2. Step 2: Convert to fraction form
    92,421.84/127,574.82 = 54,696/x
  3. Step 3: Cross multiply
    92,421.84x = 127,574.82 × 54,696
  4. Step 4: Simplify right side
    92,421.84x = 6,977,832,354.72
  5. Step 5: Solve for x
    x = 6,977,832,354.72/92,421.84
  6. Step 6: Final answer
    x = 75,499.82

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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.