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Finding the Fourth Proportional to 95,988, 144,033.84 and 46,740

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Solution

The fourth proportional to 95,988, 144,033.84 and 46,740 is: 70,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,988 : 144,033.84 = 46,740 : x
  2. Step 2: Convert to fraction form
    95,988/144,033.84 = 46,740/x
  3. Step 3: Cross multiply
    95,988x = 144,033.84 × 46,740
  4. Step 4: Simplify right side
    95,988x = 6,732,141,681.60
  5. Step 5: Solve for x
    x = 6,732,141,681.60/95,988
  6. Step 6: Final answer
    x = 70,135.24

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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.