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Finding the Fourth Proportional to 44,875, 67,312.50 and 12,043

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Solution

The fourth proportional to 44,875, 67,312.50 and 12,043 is: 18,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,875 : 67,312.50 = 12,043 : x
  2. Step 2: Convert to fraction form
    44,875/67,312.50 = 12,043/x
  3. Step 3: Cross multiply
    44,875x = 67,312.50 × 12,043
  4. Step 4: Simplify right side
    44,875x = 810,644,437.50
  5. Step 5: Solve for x
    x = 810,644,437.50/44,875
  6. Step 6: Final answer
    x = 18,064.50

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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.