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Finding the Fourth Proportional to 82,323.90, 113,607 and 48,325.68

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Solution

The fourth proportional to 82,323.90, 113,607 and 48,325.68 is: 66,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323.90 : 113,607 = 48,325.68 : x
  2. Step 2: Convert to fraction form
    82,323.90/113,607 = 48,325.68/x
  3. Step 3: Cross multiply
    82,323.90x = 113,607 × 48,325.68
  4. Step 4: Simplify right side
    82,323.90x = 5,490,135,527.76
  5. Step 5: Solve for x
    x = 5,490,135,527.76/82,323.90
  6. Step 6: Final answer
    x = 66,689.45

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1.5x scale

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.