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Finding the Fourth Proportional to 76,329.81, 114,495.00 and 31,925.41

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Solution

The fourth proportional to 76,329.81, 114,495.00 and 31,925.41 is: 47,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,329.81 : 114,495.00 = 31,925.41 : x
  2. Step 2: Convert to fraction form
    76,329.81/114,495.00 = 31,925.41/x
  3. Step 3: Cross multiply
    76,329.81x = 114,495.00 × 31,925.41
  4. Step 4: Simplify right side
    76,329.81x = 3,655,300,080.79
  5. Step 5: Solve for x
    x = 3,655,300,080.79/76,329.81
  6. Step 6: Final answer
    x = 47,888.24

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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.