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Finding the Fourth Proportional to 76,039.53, 104,929.20 and 42,042.48

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Solution

The fourth proportional to 76,039.53, 104,929.20 and 42,042.48 is: 58,015.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,039.53 : 104,929.20 = 42,042.48 : x
  2. Step 2: Convert to fraction form
    76,039.53/104,929.20 = 42,042.48/x
  3. Step 3: Cross multiply
    76,039.53x = 104,929.20 × 42,042.48
  4. Step 4: Simplify right side
    76,039.53x = 4,411,483,792.42
  5. Step 5: Solve for x
    x = 4,411,483,792.42/76,039.53
  6. Step 6: Final answer
    x = 58,015.66

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1.5x scale

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.