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Finding the Fourth Proportional to 34,071.84, 51,088.32 and 13,284

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Solution

The fourth proportional to 34,071.84, 51,088.32 and 13,284 is: 19,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.84 : 51,088.32 = 13,284 : x
  2. Step 2: Convert to fraction form
    34,071.84/51,088.32 = 13,284/x
  3. Step 3: Cross multiply
    34,071.84x = 51,088.32 × 13,284
  4. Step 4: Simplify right side
    34,071.84x = 678,657,242.88
  5. Step 5: Solve for x
    x = 678,657,242.88/34,071.84
  6. Step 6: Final answer
    x = 19,918.42

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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.