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Finding the Fourth Proportional to 76,307.66, 105,299.44 and 42,314.88

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Solution

The fourth proportional to 76,307.66, 105,299.44 and 42,314.88 is: 58,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,307.66 : 105,299.44 = 42,314.88 : x
  2. Step 2: Convert to fraction form
    76,307.66/105,299.44 = 42,314.88/x
  3. Step 3: Cross multiply
    76,307.66x = 105,299.44 × 42,314.88
  4. Step 4: Simplify right side
    76,307.66x = 4,455,733,167.67
  5. Step 5: Solve for x
    x = 4,455,733,167.67/76,307.66
  6. Step 6: Final answer
    x = 58,391.69

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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.