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Finding the Fourth Proportional to 83,302.92, 114,838.46 and 59,388.08

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Solution

The fourth proportional to 83,302.92, 114,838.46 and 59,388.08 is: 81,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,302.92 : 114,838.46 = 59,388.08 : x
  2. Step 2: Convert to fraction form
    83,302.92/114,838.46 = 59,388.08/x
  3. Step 3: Cross multiply
    83,302.92x = 114,838.46 × 59,388.08
  4. Step 4: Simplify right side
    83,302.92x = 6,820,035,550.51
  5. Step 5: Solve for x
    x = 6,820,035,550.51/83,302.92
  6. Step 6: Final answer
    x = 81,870.30

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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.