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Finding the Fourth Proportional to 46,444.74, 64,093.74 and 25,224

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Solution

The fourth proportional to 46,444.74, 64,093.74 and 25,224 is: 34,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,444.74 : 64,093.74 = 25,224 : x
  2. Step 2: Convert to fraction form
    46,444.74/64,093.74 = 25,224/x
  3. Step 3: Cross multiply
    46,444.74x = 64,093.74 × 25,224
  4. Step 4: Simplify right side
    46,444.74x = 1,616,700,497.76
  5. Step 5: Solve for x
    x = 1,616,700,497.76/46,444.74
  6. Step 6: Final answer
    x = 34,809.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.