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Finding the Fourth Proportional to 76,570.47, 114,416.42 and 58,458.47

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Solution

The fourth proportional to 76,570.47, 114,416.42 and 58,458.47 is: 87,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,570.47 : 114,416.42 = 58,458.47 : x
  2. Step 2: Convert to fraction form
    76,570.47/114,416.42 = 58,458.47/x
  3. Step 3: Cross multiply
    76,570.47x = 114,416.42 × 58,458.47
  4. Step 4: Simplify right side
    76,570.47x = 6,688,607,991.70
  5. Step 5: Solve for x
    x = 6,688,607,991.70/76,570.47
  6. Step 6: Final answer
    x = 87,352.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.