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Finding the Fourth Proportional to 76,477.20, 114,722.88 and 29,733.60

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Solution

The fourth proportional to 76,477.20, 114,722.88 and 29,733.60 is: 44,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,477.20 : 114,722.88 = 29,733.60 : x
  2. Step 2: Convert to fraction form
    76,477.20/114,722.88 = 29,733.60/x
  3. Step 3: Cross multiply
    76,477.20x = 114,722.88 × 29,733.60
  4. Step 4: Simplify right side
    76,477.20x = 3,411,124,224.77
  5. Step 5: Solve for x
    x = 3,411,124,224.77/76,477.20
  6. Step 6: Final answer
    x = 44,603.15

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1.5x scale

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.