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Finding the Fourth Proportional to 51,744.66, 77,962.77 and 46,752.83

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Solution

The fourth proportional to 51,744.66, 77,962.77 and 46,752.83 is: 70,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,744.66 : 77,962.77 = 46,752.83 : x
  2. Step 2: Convert to fraction form
    51,744.66/77,962.77 = 46,752.83/x
  3. Step 3: Cross multiply
    51,744.66x = 77,962.77 × 46,752.83
  4. Step 4: Simplify right side
    51,744.66x = 3,644,980,151.72
  5. Step 5: Solve for x
    x = 3,644,980,151.72/51,744.66
  6. Step 6: Final answer
    x = 70,441.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.