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Finding the Fourth Proportional to 64,826.40, 97,023.60 and 47,006.40

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Solution

The fourth proportional to 64,826.40, 97,023.60 and 47,006.40 is: 70,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,826.40 : 97,023.60 = 47,006.40 : x
  2. Step 2: Convert to fraction form
    64,826.40/97,023.60 = 47,006.40/x
  3. Step 3: Cross multiply
    64,826.40x = 97,023.60 × 47,006.40
  4. Step 4: Simplify right side
    64,826.40x = 4,560,730,151.04
  5. Step 5: Solve for x
    x = 4,560,730,151.04/64,826.40
  6. Step 6: Final answer
    x = 70,352.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.