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Finding the Fourth Proportional to 46,671.84, 70,007.62 and 11,611.50

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Solution

The fourth proportional to 46,671.84, 70,007.62 and 11,611.50 is: 17,417.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,671.84 : 70,007.62 = 11,611.50 : x
  2. Step 2: Convert to fraction form
    46,671.84/70,007.62 = 11,611.50/x
  3. Step 3: Cross multiply
    46,671.84x = 70,007.62 × 11,611.50
  4. Step 4: Simplify right side
    46,671.84x = 812,893,479.63
  5. Step 5: Solve for x
    x = 812,893,479.63/46,671.84
  6. Step 6: Final answer
    x = 17,417.22

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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.