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Finding the Fourth Proportional to 99,546, 137,373.48 and 54,834

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Solution

The fourth proportional to 99,546, 137,373.48 and 54,834 is: 75,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,546 : 137,373.48 = 54,834 : x
  2. Step 2: Convert to fraction form
    99,546/137,373.48 = 54,834/x
  3. Step 3: Cross multiply
    99,546x = 137,373.48 × 54,834
  4. Step 4: Simplify right side
    99,546x = 7,532,737,402.32
  5. Step 5: Solve for x
    x = 7,532,737,402.32/99,546
  6. Step 6: Final answer
    x = 75,670.92

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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.