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Finding the Fourth Proportional to 70,472.58, 105,505.74 and 46,803.75

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Solution

The fourth proportional to 70,472.58, 105,505.74 and 46,803.75 is: 70,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472.58 : 105,505.74 = 46,803.75 : x
  2. Step 2: Convert to fraction form
    70,472.58/105,505.74 = 46,803.75/x
  3. Step 3: Cross multiply
    70,472.58x = 105,505.74 × 46,803.75
  4. Step 4: Simplify right side
    70,472.58x = 4,938,064,278.53
  5. Step 5: Solve for x
    x = 4,938,064,278.53/70,472.58
  6. Step 6: Final answer
    x = 70,070.72

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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.