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Finding the Fourth Proportional to 49,854, 74,813.36 and 29,848.42

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Solution

The fourth proportional to 49,854, 74,813.36 and 29,848.42 is: 44,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,854 : 74,813.36 = 29,848.42 : x
  2. Step 2: Convert to fraction form
    49,854/74,813.36 = 29,848.42/x
  3. Step 3: Cross multiply
    49,854x = 74,813.36 × 29,848.42
  4. Step 4: Simplify right side
    49,854x = 2,233,060,590.89
  5. Step 5: Solve for x
    x = 2,233,060,590.89/49,854
  6. Step 6: Final answer
    x = 44,792.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.