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Finding the Fourth Proportional to 115,503.84, 173,152.08 and 41,580

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Solution

The fourth proportional to 115,503.84, 173,152.08 and 41,580 is: 62,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,503.84 : 173,152.08 = 41,580 : x
  2. Step 2: Convert to fraction form
    115,503.84/173,152.08 = 41,580/x
  3. Step 3: Cross multiply
    115,503.84x = 173,152.08 × 41,580
  4. Step 4: Simplify right side
    115,503.84x = 7,199,663,486.40
  5. Step 5: Solve for x
    x = 7,199,663,486.40/115,503.84
  6. Step 6: Final answer
    x = 62,332.68

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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.