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Finding the Fourth Proportional to 76,582.32, 105,688.44 and 43,050.48

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Solution

The fourth proportional to 76,582.32, 105,688.44 and 43,050.48 is: 59,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,582.32 : 105,688.44 = 43,050.48 : x
  2. Step 2: Convert to fraction form
    76,582.32/105,688.44 = 43,050.48/x
  3. Step 3: Cross multiply
    76,582.32x = 105,688.44 × 43,050.48
  4. Step 4: Simplify right side
    76,582.32x = 4,549,938,072.45
  5. Step 5: Solve for x
    x = 4,549,938,072.45/76,582.32
  6. Step 6: Final answer
    x = 59,412.38

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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.