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Finding the Fourth Proportional to 57,746.54, 86,648.54 and 32,430.35

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Solution

The fourth proportional to 57,746.54, 86,648.54 and 32,430.35 is: 48,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,746.54 : 86,648.54 = 32,430.35 : x
  2. Step 2: Convert to fraction form
    57,746.54/86,648.54 = 32,430.35/x
  3. Step 3: Cross multiply
    57,746.54x = 86,648.54 × 32,430.35
  4. Step 4: Simplify right side
    57,746.54x = 2,810,041,883.79
  5. Step 5: Solve for x
    x = 2,810,041,883.79/57,746.54
  6. Step 6: Final answer
    x = 48,661.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.