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Finding the Fourth Proportional to 97,642.53, 146,465.01 and 31,082.40

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Solution

The fourth proportional to 97,642.53, 146,465.01 and 31,082.40 is: 46,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,642.53 : 146,465.01 = 31,082.40 : x
  2. Step 2: Convert to fraction form
    97,642.53/146,465.01 = 31,082.40/x
  3. Step 3: Cross multiply
    97,642.53x = 146,465.01 × 31,082.40
  4. Step 4: Simplify right side
    97,642.53x = 4,552,484,026.82
  5. Step 5: Solve for x
    x = 4,552,484,026.82/97,642.53
  6. Step 6: Final answer
    x = 46,623.99

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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.