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Finding the Fourth Proportional to 73,746.16, 110,607 and 31,633

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Solution

The fourth proportional to 73,746.16, 110,607 and 31,633 is: 47,444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,746.16 : 110,607 = 31,633 : x
  2. Step 2: Convert to fraction form
    73,746.16/110,607 = 31,633/x
  3. Step 3: Cross multiply
    73,746.16x = 110,607 × 31,633
  4. Step 4: Simplify right side
    73,746.16x = 3,498,831,231
  5. Step 5: Solve for x
    x = 3,498,831,231/73,746.16
  6. Step 6: Final answer
    x = 47,444.25

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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.