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Finding the Fourth Proportional to 114,543.84, 171,774.54 and 39,643.64

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Solution

The fourth proportional to 114,543.84, 171,774.54 and 39,643.64 is: 59,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,543.84 : 171,774.54 = 39,643.64 : x
  2. Step 2: Convert to fraction form
    114,543.84/171,774.54 = 39,643.64/x
  3. Step 3: Cross multiply
    114,543.84x = 171,774.54 × 39,643.64
  4. Step 4: Simplify right side
    114,543.84x = 6,809,768,024.93
  5. Step 5: Solve for x
    x = 6,809,768,024.93/114,543.84
  6. Step 6: Final answer
    x = 59,451.19

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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.