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Finding the Fourth Proportional to 34,842.51, 52,264.74 and 8,547.21

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Solution

The fourth proportional to 34,842.51, 52,264.74 and 8,547.21 is: 12,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,842.51 : 52,264.74 = 8,547.21 : x
  2. Step 2: Convert to fraction form
    34,842.51/52,264.74 = 8,547.21/x
  3. Step 3: Cross multiply
    34,842.51x = 52,264.74 × 8,547.21
  4. Step 4: Simplify right side
    34,842.51x = 446,717,708.38
  5. Step 5: Solve for x
    x = 446,717,708.38/34,842.51
  6. Step 6: Final answer
    x = 12,821.05

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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.