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Finding the Fourth Proportional to 83,029.40, 114,444.04 and 58,838.48

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Solution

The fourth proportional to 83,029.40, 114,444.04 and 58,838.48 is: 81,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,029.40 : 114,444.04 = 58,838.48 : x
  2. Step 2: Convert to fraction form
    83,029.40/114,444.04 = 58,838.48/x
  3. Step 3: Cross multiply
    83,029.40x = 114,444.04 × 58,838.48
  4. Step 4: Simplify right side
    83,029.40x = 6,733,713,358.66
  5. Step 5: Solve for x
    x = 6,733,713,358.66/83,029.40
  6. Step 6: Final answer
    x = 81,100.35

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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.