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Finding the Fourth Proportional to 76,482.69, 114,594.48 and 46,838.58

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Solution

The fourth proportional to 76,482.69, 114,594.48 and 46,838.58 is: 70,178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,482.69 : 114,594.48 = 46,838.58 : x
  2. Step 2: Convert to fraction form
    76,482.69/114,594.48 = 46,838.58/x
  3. Step 3: Cross multiply
    76,482.69x = 114,594.48 × 46,838.58
  4. Step 4: Simplify right side
    76,482.69x = 5,367,442,719.04
  5. Step 5: Solve for x
    x = 5,367,442,719.04/76,482.69
  6. Step 6: Final answer
    x = 70,178.53

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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.