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Finding the Fourth Proportional to 83,242.94, 114,866.30 and 49,252.72

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Solution

The fourth proportional to 83,242.94, 114,866.30 and 49,252.72 is: 67,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242.94 : 114,866.30 = 49,252.72 : x
  2. Step 2: Convert to fraction form
    83,242.94/114,866.30 = 49,252.72/x
  3. Step 3: Cross multiply
    83,242.94x = 114,866.30 × 49,252.72
  4. Step 4: Simplify right side
    83,242.94x = 5,657,477,711.34
  5. Step 5: Solve for x
    x = 5,657,477,711.34/83,242.94
  6. Step 6: Final answer
    x = 67,963.45

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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.