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Finding the Fourth Proportional to 30,598.71, 45,911.13 and 17,281.70

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Solution

The fourth proportional to 30,598.71, 45,911.13 and 17,281.70 is: 25,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,598.71 : 45,911.13 = 17,281.70 : x
  2. Step 2: Convert to fraction form
    30,598.71/45,911.13 = 17,281.70/x
  3. Step 3: Cross multiply
    30,598.71x = 45,911.13 × 17,281.70
  4. Step 4: Simplify right side
    30,598.71x = 793,422,559.98
  5. Step 5: Solve for x
    x = 793,422,559.98/30,598.71
  6. Step 6: Final answer
    x = 25,929.93

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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.