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Finding the Fourth Proportional to 97,148, 134,064.64 and 54,707.24

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Solution

The fourth proportional to 97,148, 134,064.64 and 54,707.24 is: 75,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,148 : 134,064.64 = 54,707.24 : x
  2. Step 2: Convert to fraction form
    97,148/134,064.64 = 54,707.24/x
  3. Step 3: Cross multiply
    97,148x = 134,064.64 × 54,707.24
  4. Step 4: Simplify right side
    97,148x = 7,334,306,435.99
  5. Step 5: Solve for x
    x = 7,334,306,435.99/97,148
  6. Step 6: Final answer
    x = 75,496.22

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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.