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Finding the Fourth Proportional to 105,033.97, 144,946.79 and 57,287.17

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Solution

The fourth proportional to 105,033.97, 144,946.79 and 57,287.17 is: 79,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,033.97 : 144,946.79 = 57,287.17 : x
  2. Step 2: Convert to fraction form
    105,033.97/144,946.79 = 57,287.17/x
  3. Step 3: Cross multiply
    105,033.97x = 144,946.79 × 57,287.17
  4. Step 4: Simplify right side
    105,033.97x = 8,303,590,965.71
  5. Step 5: Solve for x
    x = 8,303,590,965.71/105,033.97
  6. Step 6: Final answer
    x = 79,056.24

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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.