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Finding the Fourth Proportional to 97,506.86, 134,572.83 and 56,113

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Solution

The fourth proportional to 97,506.86, 134,572.83 and 56,113 is: 77,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,506.86 : 134,572.83 = 56,113 : x
  2. Step 2: Convert to fraction form
    97,506.86/134,572.83 = 56,113/x
  3. Step 3: Cross multiply
    97,506.86x = 134,572.83 × 56,113
  4. Step 4: Simplify right side
    97,506.86x = 7,551,285,209.79
  5. Step 5: Solve for x
    x = 7,551,285,209.79/97,506.86
  6. Step 6: Final answer
    x = 77,443.63

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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.