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Finding the Fourth Proportional to 34,185.51, 51,271.76 and 14,477.90

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Solution

The fourth proportional to 34,185.51, 51,271.76 and 14,477.90 is: 21,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,185.51 : 51,271.76 = 14,477.90 : x
  2. Step 2: Convert to fraction form
    34,185.51/51,271.76 = 14,477.90/x
  3. Step 3: Cross multiply
    34,185.51x = 51,271.76 × 14,477.90
  4. Step 4: Simplify right side
    34,185.51x = 742,307,414.10
  5. Step 5: Solve for x
    x = 742,307,414.10/34,185.51
  6. Step 6: Final answer
    x = 21,714.10

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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.