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Finding the Fourth Proportional to 46,166.40, 69,152.40 and 38,390.40

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Solution

The fourth proportional to 46,166.40, 69,152.40 and 38,390.40 is: 57,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,166.40 : 69,152.40 = 38,390.40 : x
  2. Step 2: Convert to fraction form
    46,166.40/69,152.40 = 38,390.40/x
  3. Step 3: Cross multiply
    46,166.40x = 69,152.40 × 38,390.40
  4. Step 4: Simplify right side
    46,166.40x = 2,654,788,296.96
  5. Step 5: Solve for x
    x = 2,654,788,296.96/46,166.40
  6. Step 6: Final answer
    x = 57,504.77

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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.