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Finding the Fourth Proportional to 46,120.79, 69,205.79 and 19,823.94

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Solution

The fourth proportional to 46,120.79, 69,205.79 and 19,823.94 is: 29,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,120.79 : 69,205.79 = 19,823.94 : x
  2. Step 2: Convert to fraction form
    46,120.79/69,205.79 = 19,823.94/x
  3. Step 3: Cross multiply
    46,120.79x = 69,205.79 × 19,823.94
  4. Step 4: Simplify right side
    46,120.79x = 1,371,931,478.17
  5. Step 5: Solve for x
    x = 1,371,931,478.17/46,120.79
  6. Step 6: Final answer
    x = 29,746.49

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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.