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Finding the Fourth Proportional to 78,866.02, 118,304.70 and 24,826.06

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Solution

The fourth proportional to 78,866.02, 118,304.70 and 24,826.06 is: 37,240.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,866.02 : 118,304.70 = 24,826.06 : x
  2. Step 2: Convert to fraction form
    78,866.02/118,304.70 = 24,826.06/x
  3. Step 3: Cross multiply
    78,866.02x = 118,304.70 × 24,826.06
  4. Step 4: Simplify right side
    78,866.02x = 2,937,039,580.48
  5. Step 5: Solve for x
    x = 2,937,039,580.48/78,866.02
  6. Step 6: Final answer
    x = 37,240.87

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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.