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Finding the Fourth Proportional to 83,237.84, 114,835.52 and 53,015.12

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Solution

The fourth proportional to 83,237.84, 114,835.52 and 53,015.12 is: 73,140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,237.84 : 114,835.52 = 53,015.12 : x
  2. Step 2: Convert to fraction form
    83,237.84/114,835.52 = 53,015.12/x
  3. Step 3: Cross multiply
    83,237.84x = 114,835.52 × 53,015.12
  4. Step 4: Simplify right side
    83,237.84x = 6,088,018,873.06
  5. Step 5: Solve for x
    x = 6,088,018,873.06/83,237.84
  6. Step 6: Final answer
    x = 73,140.04

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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.