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Finding the Fourth Proportional to 49,376.34, 74,047 and 17,777.93

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Solution

The fourth proportional to 49,376.34, 74,047 and 17,777.93 is: 26,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,376.34 : 74,047 = 17,777.93 : x
  2. Step 2: Convert to fraction form
    49,376.34/74,047 = 17,777.93/x
  3. Step 3: Cross multiply
    49,376.34x = 74,047 × 17,777.93
  4. Step 4: Simplify right side
    49,376.34x = 1,316,402,012.48
  5. Step 5: Solve for x
    x = 1,316,402,012.48/49,376.34
  6. Step 6: Final answer
    x = 26,660.58

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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.