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Finding the Fourth Proportional to 85,533.80, 118,038.43 and 47,296.49

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Solution

The fourth proportional to 85,533.80, 118,038.43 and 47,296.49 is: 65,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,533.80 : 118,038.43 = 47,296.49 : x
  2. Step 2: Convert to fraction form
    85,533.80/118,038.43 = 47,296.49/x
  3. Step 3: Cross multiply
    85,533.80x = 118,038.43 × 47,296.49
  4. Step 4: Simplify right side
    85,533.80x = 5,582,803,855.45
  5. Step 5: Solve for x
    x = 5,582,803,855.45/85,533.80
  6. Step 6: Final answer
    x = 65,270.15

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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.