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Finding the Fourth Proportional to 98,964, 136,570.32 and 54,252

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Solution

The fourth proportional to 98,964, 136,570.32 and 54,252 is: 74,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,964 : 136,570.32 = 54,252 : x
  2. Step 2: Convert to fraction form
    98,964/136,570.32 = 54,252/x
  3. Step 3: Cross multiply
    98,964x = 136,570.32 × 54,252
  4. Step 4: Simplify right side
    98,964x = 7,409,213,000.64
  5. Step 5: Solve for x
    x = 7,409,213,000.64/98,964
  6. Step 6: Final answer
    x = 74,867.76

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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.