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Finding the Fourth Proportional to 46,737.13, 70,105.69 and 13,905.13

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Solution

The fourth proportional to 46,737.13, 70,105.69 and 13,905.13 is: 20,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,737.13 : 70,105.69 = 13,905.13 : x
  2. Step 2: Convert to fraction form
    46,737.13/70,105.69 = 13,905.13/x
  3. Step 3: Cross multiply
    46,737.13x = 70,105.69 × 13,905.13
  4. Step 4: Simplify right side
    46,737.13x = 974,828,733.19
  5. Step 5: Solve for x
    x = 974,828,733.19/46,737.13
  6. Step 6: Final answer
    x = 20,857.69

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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.