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Finding the Fourth Proportional to 31,746.03, 47,625.70 and 12,024.15

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Solution

The fourth proportional to 31,746.03, 47,625.70 and 12,024.15 is: 18,038.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746.03 : 47,625.70 = 12,024.15 : x
  2. Step 2: Convert to fraction form
    31,746.03/47,625.70 = 12,024.15/x
  3. Step 3: Cross multiply
    31,746.03x = 47,625.70 × 12,024.15
  4. Step 4: Simplify right side
    31,746.03x = 572,658,292.47
  5. Step 5: Solve for x
    x = 572,658,292.47/31,746.03
  6. Step 6: Final answer
    x = 18,038.74

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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.