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Finding the Fourth Proportional to 31,598.64, 47,360.16 and 14,048.64

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Solution

The fourth proportional to 31,598.64, 47,360.16 and 14,048.64 is: 21,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.64 : 47,360.16 = 14,048.64 : x
  2. Step 2: Convert to fraction form
    31,598.64/47,360.16 = 14,048.64/x
  3. Step 3: Cross multiply
    31,598.64x = 47,360.16 × 14,048.64
  4. Step 4: Simplify right side
    31,598.64x = 665,345,838.18
  5. Step 5: Solve for x
    x = 665,345,838.18/31,598.64
  6. Step 6: Final answer
    x = 21,056.15

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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.