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Finding the Fourth Proportional to 34,052, 51,068.32 and 14,335.04

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Solution

The fourth proportional to 34,052, 51,068.32 and 14,335.04 is: 21,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,052 : 51,068.32 = 14,335.04 : x
  2. Step 2: Convert to fraction form
    34,052/51,068.32 = 14,335.04/x
  3. Step 3: Cross multiply
    34,052x = 51,068.32 × 14,335.04
  4. Step 4: Simplify right side
    34,052x = 732,066,409.93
  5. Step 5: Solve for x
    x = 732,066,409.93/34,052
  6. Step 6: Final answer
    x = 21,498.48

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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.