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Finding the Fourth Proportional to 75,577.76, 104,292.76 and 41,585

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Solution

The fourth proportional to 75,577.76, 104,292.76 and 41,585 is: 57,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,577.76 : 104,292.76 = 41,585 : x
  2. Step 2: Convert to fraction form
    75,577.76/104,292.76 = 41,585/x
  3. Step 3: Cross multiply
    75,577.76x = 104,292.76 × 41,585
  4. Step 4: Simplify right side
    75,577.76x = 4,337,014,424.60
  5. Step 5: Solve for x
    x = 4,337,014,424.60/75,577.76
  6. Step 6: Final answer
    x = 57,384.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.