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Finding the Fourth Proportional to 55,083, 76,032.54 and 32,421.72

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Solution

The fourth proportional to 55,083, 76,032.54 and 32,421.72 is: 44,752.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,083 : 76,032.54 = 32,421.72 : x
  2. Step 2: Convert to fraction form
    55,083/76,032.54 = 32,421.72/x
  3. Step 3: Cross multiply
    55,083x = 76,032.54 × 32,421.72
  4. Step 4: Simplify right side
    55,083x = 2,465,105,722.77
  5. Step 5: Solve for x
    x = 2,465,105,722.77/55,083
  6. Step 6: Final answer
    x = 44,752.57

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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.