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Finding the Fourth Proportional to 29,931.64, 44,897.18 and 11,463.64

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Solution

The fourth proportional to 29,931.64, 44,897.18 and 11,463.64 is: 17,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,931.64 : 44,897.18 = 11,463.64 : x
  2. Step 2: Convert to fraction form
    29,931.64/44,897.18 = 11,463.64/x
  3. Step 3: Cross multiply
    29,931.64x = 44,897.18 × 11,463.64
  4. Step 4: Simplify right side
    29,931.64x = 514,685,108.54
  5. Step 5: Solve for x
    x = 514,685,108.54/29,931.64
  6. Step 6: Final answer
    x = 17,195.35

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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.