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Finding the Fourth Proportional to 99,173.84, 148,813.56 and 46,584.08

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Solution

The fourth proportional to 99,173.84, 148,813.56 and 46,584.08 is: 69,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,173.84 : 148,813.56 = 46,584.08 : x
  2. Step 2: Convert to fraction form
    99,173.84/148,813.56 = 46,584.08/x
  3. Step 3: Cross multiply
    99,173.84x = 148,813.56 × 46,584.08
  4. Step 4: Simplify right side
    99,173.84x = 6,932,342,784.12
  5. Step 5: Solve for x
    x = 6,932,342,784.12/99,173.84
  6. Step 6: Final answer
    x = 69,900.92

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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.