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Finding the Fourth Proportional to 105,592.66, 145,718.14 and 57,846.94

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Solution

The fourth proportional to 105,592.66, 145,718.14 and 57,846.94 is: 79,828.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,592.66 : 145,718.14 = 57,846.94 : x
  2. Step 2: Convert to fraction form
    105,592.66/145,718.14 = 57,846.94/x
  3. Step 3: Cross multiply
    105,592.66x = 145,718.14 × 57,846.94
  4. Step 4: Simplify right side
    105,592.66x = 8,429,348,501.49
  5. Step 5: Solve for x
    x = 8,429,348,501.49/105,592.66
  6. Step 6: Final answer
    x = 79,828.92

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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.