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Finding the Fourth Proportional to 34,345.11, 51,532.49 and 18,547

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Solution

The fourth proportional to 34,345.11, 51,532.49 and 18,547 is: 27,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,345.11 : 51,532.49 = 18,547 : x
  2. Step 2: Convert to fraction form
    34,345.11/51,532.49 = 18,547/x
  3. Step 3: Cross multiply
    34,345.11x = 51,532.49 × 18,547
  4. Step 4: Simplify right side
    34,345.11x = 955,772,999.30
  5. Step 5: Solve for x
    x = 955,772,999.30/34,345.11
  6. Step 6: Final answer
    x = 27,828.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.