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Finding the Fourth Proportional to 34,047.32, 46,985.30 and 19,900.16

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Solution

The fourth proportional to 34,047.32, 46,985.30 and 19,900.16 is: 27,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047.32 : 46,985.30 = 19,900.16 : x
  2. Step 2: Convert to fraction form
    34,047.32/46,985.30 = 19,900.16/x
  3. Step 3: Cross multiply
    34,047.32x = 46,985.30 × 19,900.16
  4. Step 4: Simplify right side
    34,047.32x = 935,014,987.65
  5. Step 5: Solve for x
    x = 935,014,987.65/34,047.32
  6. Step 6: Final answer
    x = 27,462.22

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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.