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Finding the Fourth Proportional to 34,047.72, 46,878.48 and 30,894.84

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Solution

The fourth proportional to 34,047.72, 46,878.48 and 30,894.84 is: 42,537.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047.72 : 46,878.48 = 30,894.84 : x
  2. Step 2: Convert to fraction form
    34,047.72/46,878.48 = 30,894.84/x
  3. Step 3: Cross multiply
    34,047.72x = 46,878.48 × 30,894.84
  4. Step 4: Simplify right side
    34,047.72x = 1,448,303,139.04
  5. Step 5: Solve for x
    x = 1,448,303,139.04/34,047.72
  6. Step 6: Final answer
    x = 42,537.45

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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.