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Finding the Fourth Proportional to 98,025, 135,275.64 and 53,313

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Solution

The fourth proportional to 98,025, 135,275.64 and 53,313 is: 73,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,025 : 135,275.64 = 53,313 : x
  2. Step 2: Convert to fraction form
    98,025/135,275.64 = 53,313/x
  3. Step 3: Cross multiply
    98,025x = 135,275.64 × 53,313
  4. Step 4: Simplify right side
    98,025x = 7,211,950,195.32
  5. Step 5: Solve for x
    x = 7,211,950,195.32/98,025
  6. Step 6: Final answer
    x = 73,572.56

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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.