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Finding the Fourth Proportional to 97,774.53, 146,731.74 and 41,653.95

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Solution

The fourth proportional to 97,774.53, 146,731.74 and 41,653.95 is: 62,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,774.53 : 146,731.74 = 41,653.95 : x
  2. Step 2: Convert to fraction form
    97,774.53/146,731.74 = 41,653.95/x
  3. Step 3: Cross multiply
    97,774.53x = 146,731.74 × 41,653.95
  4. Step 4: Simplify right side
    97,774.53x = 6,111,956,561.37
  5. Step 5: Solve for x
    x = 6,111,956,561.37/97,774.53
  6. Step 6: Final answer
    x = 62,510.72

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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.