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Finding the Fourth Proportional to 47,205.84, 64,958.76 and 46,914.24

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Solution

The fourth proportional to 47,205.84, 64,958.76 and 46,914.24 is: 64,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,205.84 : 64,958.76 = 46,914.24 : x
  2. Step 2: Convert to fraction form
    47,205.84/64,958.76 = 46,914.24/x
  3. Step 3: Cross multiply
    47,205.84x = 64,958.76 × 46,914.24
  4. Step 4: Simplify right side
    47,205.84x = 3,047,490,856.74
  5. Step 5: Solve for x
    x = 3,047,490,856.74/47,205.84
  6. Step 6: Final answer
    x = 64,557.50

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1.5x scale

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.