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Finding the Fourth Proportional to 34,115.40, 47,055.16 and 19,971.08

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Solution

The fourth proportional to 34,115.40, 47,055.16 and 19,971.08 is: 27,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115.40 : 47,055.16 = 19,971.08 : x
  2. Step 2: Convert to fraction form
    34,115.40/47,055.16 = 19,971.08/x
  3. Step 3: Cross multiply
    34,115.40x = 47,055.16 × 19,971.08
  4. Step 4: Simplify right side
    34,115.40x = 939,742,364.77
  5. Step 5: Solve for x
    x = 939,742,364.77/34,115.40
  6. Step 6: Final answer
    x = 27,545.99

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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.