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Finding the Fourth Proportional to 97,653.20, 134,745.47 and 56,826.46

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Solution

The fourth proportional to 97,653.20, 134,745.47 and 56,826.46 is: 78,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,653.20 : 134,745.47 = 56,826.46 : x
  2. Step 2: Convert to fraction form
    97,653.20/134,745.47 = 56,826.46/x
  3. Step 3: Cross multiply
    97,653.20x = 134,745.47 × 56,826.46
  4. Step 4: Simplify right side
    97,653.20x = 7,657,107,440.14
  5. Step 5: Solve for x
    x = 7,657,107,440.14/97,653.20
  6. Step 6: Final answer
    x = 78,411.23

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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.