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Finding the Fourth Proportional to 30,706.29, 46,059.17 and 9,929.79

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Solution

The fourth proportional to 30,706.29, 46,059.17 and 9,929.79 is: 14,894.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.29 : 46,059.17 = 9,929.79 : x
  2. Step 2: Convert to fraction form
    30,706.29/46,059.17 = 9,929.79/x
  3. Step 3: Cross multiply
    30,706.29x = 46,059.17 × 9,929.79
  4. Step 4: Simplify right side
    30,706.29x = 457,357,836.03
  5. Step 5: Solve for x
    x = 457,357,836.03/30,706.29
  6. Step 6: Final answer
    x = 14,894.60

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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.