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Finding the Fourth Proportional to 32,038.80, 48,062.81 and 9,854.04

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Solution

The fourth proportional to 32,038.80, 48,062.81 and 9,854.04 is: 14,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.80 : 48,062.81 = 9,854.04 : x
  2. Step 2: Convert to fraction form
    32,038.80/48,062.81 = 9,854.04/x
  3. Step 3: Cross multiply
    32,038.80x = 48,062.81 × 9,854.04
  4. Step 4: Simplify right side
    32,038.80x = 473,612,852.25
  5. Step 5: Solve for x
    x = 473,612,852.25/32,038.80
  6. Step 6: Final answer
    x = 14,782.48

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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.