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Finding the Fourth Proportional to 96,546.40, 144,916.80 and 46,666.60

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Solution

The fourth proportional to 96,546.40, 144,916.80 and 46,666.60 is: 70,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,546.40 : 144,916.80 = 46,666.60 : x
  2. Step 2: Convert to fraction form
    96,546.40/144,916.80 = 46,666.60/x
  3. Step 3: Cross multiply
    96,546.40x = 144,916.80 × 46,666.60
  4. Step 4: Simplify right side
    96,546.40x = 6,762,774,338.88
  5. Step 5: Solve for x
    x = 6,762,774,338.88/96,546.40
  6. Step 6: Final answer
    x = 70,046.88

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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.