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Finding the Fourth Proportional to 76,378.09, 114,530.10 and 44,798.47

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Solution

The fourth proportional to 76,378.09, 114,530.10 and 44,798.47 is: 67,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378.09 : 114,530.10 = 44,798.47 : x
  2. Step 2: Convert to fraction form
    76,378.09/114,530.10 = 44,798.47/x
  3. Step 3: Cross multiply
    76,378.09x = 114,530.10 × 44,798.47
  4. Step 4: Simplify right side
    76,378.09x = 5,130,773,248.95
  5. Step 5: Solve for x
    x = 5,130,773,248.95/76,378.09
  6. Step 6: Final answer
    x = 67,175.98

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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.