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Finding the Fourth Proportional to 97,108.16, 145,662.24 and 55,526

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Solution

The fourth proportional to 97,108.16, 145,662.24 and 55,526 is: 83,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,108.16 : 145,662.24 = 55,526 : x
  2. Step 2: Convert to fraction form
    97,108.16/145,662.24 = 55,526/x
  3. Step 3: Cross multiply
    97,108.16x = 145,662.24 × 55,526
  4. Step 4: Simplify right side
    97,108.16x = 8,088,041,538.24
  5. Step 5: Solve for x
    x = 8,088,041,538.24/97,108.16
  6. Step 6: Final answer
    x = 83,289

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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.