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Finding the Fourth Proportional to 31,364.04, 47,046.06 and 10,587

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Solution

The fourth proportional to 31,364.04, 47,046.06 and 10,587 is: 15,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364.04 : 47,046.06 = 10,587 : x
  2. Step 2: Convert to fraction form
    31,364.04/47,046.06 = 10,587/x
  3. Step 3: Cross multiply
    31,364.04x = 47,046.06 × 10,587
  4. Step 4: Simplify right side
    31,364.04x = 498,076,637.22
  5. Step 5: Solve for x
    x = 498,076,637.22/31,364.04
  6. Step 6: Final answer
    x = 15,880.50

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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.