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Finding the Fourth Proportional to 30,929.49, 46,395.05 and 17,775.63

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Solution

The fourth proportional to 30,929.49, 46,395.05 and 17,775.63 is: 26,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,929.49 : 46,395.05 = 17,775.63 : x
  2. Step 2: Convert to fraction form
    30,929.49/46,395.05 = 17,775.63/x
  3. Step 3: Cross multiply
    30,929.49x = 46,395.05 × 17,775.63
  4. Step 4: Simplify right side
    30,929.49x = 824,701,242.63
  5. Step 5: Solve for x
    x = 824,701,242.63/30,929.49
  6. Step 6: Final answer
    x = 26,663.91

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