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Finding the Fourth Proportional to 32,594.80, 48,895.80 and 10,404.40

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Solution

The fourth proportional to 32,594.80, 48,895.80 and 10,404.40 is: 15,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,594.80 : 48,895.80 = 10,404.40 : x
  2. Step 2: Convert to fraction form
    32,594.80/48,895.80 = 10,404.40/x
  3. Step 3: Cross multiply
    32,594.80x = 48,895.80 × 10,404.40
  4. Step 4: Simplify right side
    32,594.80x = 508,731,461.52
  5. Step 5: Solve for x
    x = 508,731,461.52/32,594.80
  6. Step 6: Final answer
    x = 15,607.75

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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.