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Finding the Fourth Proportional to 57,102.50, 78,836.02 and 37,265.06

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Solution

The fourth proportional to 57,102.50, 78,836.02 and 37,265.06 is: 51,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.50 : 78,836.02 = 37,265.06 : x
  2. Step 2: Convert to fraction form
    57,102.50/78,836.02 = 37,265.06/x
  3. Step 3: Cross multiply
    57,102.50x = 78,836.02 × 37,265.06
  4. Step 4: Simplify right side
    57,102.50x = 2,937,829,015.46
  5. Step 5: Solve for x
    x = 2,937,829,015.46/57,102.50
  6. Step 6: Final answer
    x = 51,448.34

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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.