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Finding the Fourth Proportional to 46,602.51, 69,834.65 and 34,230.03

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Solution

The fourth proportional to 46,602.51, 69,834.65 and 34,230.03 is: 51,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,602.51 : 69,834.65 = 34,230.03 : x
  2. Step 2: Convert to fraction form
    46,602.51/69,834.65 = 34,230.03/x
  3. Step 3: Cross multiply
    46,602.51x = 69,834.65 × 34,230.03
  4. Step 4: Simplify right side
    46,602.51x = 2,390,442,164.54
  5. Step 5: Solve for x
    x = 2,390,442,164.54/46,602.51
  6. Step 6: Final answer
    x = 51,294.28

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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.