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Finding the Fourth Proportional to 114,762.90, 172,144 and 30,522.99

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Solution

The fourth proportional to 114,762.90, 172,144 and 30,522.99 is: 45,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,762.90 : 172,144 = 30,522.99 : x
  2. Step 2: Convert to fraction form
    114,762.90/172,144 = 30,522.99/x
  3. Step 3: Cross multiply
    114,762.90x = 172,144 × 30,522.99
  4. Step 4: Simplify right side
    114,762.90x = 5,254,349,590.56
  5. Step 5: Solve for x
    x = 5,254,349,590.56/114,762.90
  6. Step 6: Final answer
    x = 45,784.39

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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.