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Finding the Fourth Proportional to 46,737.50, 70,106.40 and 11,677.16

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Solution

The fourth proportional to 46,737.50, 70,106.40 and 11,677.16 is: 17,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737.50 : 70,106.40 = 11,677.16 : x
  2. Step 2: Convert to fraction form
    46,737.50/70,106.40 = 11,677.16/x
  3. Step 3: Cross multiply
    46,737.50x = 70,106.40 × 11,677.16
  4. Step 4: Simplify right side
    46,737.50x = 818,643,649.82
  5. Step 5: Solve for x
    x = 818,643,649.82/46,737.50
  6. Step 6: Final answer
    x = 17,515.78

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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.