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Finding the Fourth Proportional to 46,810.86, 70,201.70 and 15,638.82

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Solution

The fourth proportional to 46,810.86, 70,201.70 and 15,638.82 is: 23,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,810.86 : 70,201.70 = 15,638.82 : x
  2. Step 2: Convert to fraction form
    46,810.86/70,201.70 = 15,638.82/x
  3. Step 3: Cross multiply
    46,810.86x = 70,201.70 × 15,638.82
  4. Step 4: Simplify right side
    46,810.86x = 1,097,871,671.80
  5. Step 5: Solve for x
    x = 1,097,871,671.80/46,810.86
  6. Step 6: Final answer
    x = 23,453.35

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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.