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Finding the Fourth Proportional to 49,496.80, 74,158.80 and 46,386.40

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Solution

The fourth proportional to 49,496.80, 74,158.80 and 46,386.40 is: 69,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,496.80 : 74,158.80 = 46,386.40 : x
  2. Step 2: Convert to fraction form
    49,496.80/74,158.80 = 46,386.40/x
  3. Step 3: Cross multiply
    49,496.80x = 74,158.80 × 46,386.40
  4. Step 4: Simplify right side
    49,496.80x = 3,439,959,760.32
  5. Step 5: Solve for x
    x = 3,439,959,760.32/49,496.80
  6. Step 6: Final answer
    x = 69,498.63

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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.