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Finding the Fourth Proportional to 29,651.76, 44,490 and 13,003.20

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Solution

The fourth proportional to 29,651.76, 44,490 and 13,003.20 is: 19,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,651.76 : 44,490 = 13,003.20 : x
  2. Step 2: Convert to fraction form
    29,651.76/44,490 = 13,003.20/x
  3. Step 3: Cross multiply
    29,651.76x = 44,490 × 13,003.20
  4. Step 4: Simplify right side
    29,651.76x = 578,512,368
  5. Step 5: Solve for x
    x = 578,512,368/29,651.76
  6. Step 6: Final answer
    x = 19,510.22

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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.