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Finding the Fourth Proportional to 56,007.34, 77,289.89 and 30,513.63

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Solution

The fourth proportional to 56,007.34, 77,289.89 and 30,513.63 is: 42,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,007.34 : 77,289.89 = 30,513.63 : x
  2. Step 2: Convert to fraction form
    56,007.34/77,289.89 = 30,513.63/x
  3. Step 3: Cross multiply
    56,007.34x = 77,289.89 × 30,513.63
  4. Step 4: Simplify right side
    56,007.34x = 2,358,395,106.20
  5. Step 5: Solve for x
    x = 2,358,395,106.20/56,007.34
  6. Step 6: Final answer
    x = 42,108.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.