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Finding the Fourth Proportional to 30,448.90, 45,623.94 and 15,637.24

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Solution

The fourth proportional to 30,448.90, 45,623.94 and 15,637.24 is: 23,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,448.90 : 45,623.94 = 15,637.24 : x
  2. Step 2: Convert to fraction form
    30,448.90/45,623.94 = 15,637.24/x
  3. Step 3: Cross multiply
    30,448.90x = 45,623.94 × 15,637.24
  4. Step 4: Simplify right side
    30,448.90x = 713,432,499.53
  5. Step 5: Solve for x
    x = 713,432,499.53/30,448.90
  6. Step 6: Final answer
    x = 23,430.49

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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.