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Finding the Fourth Proportional to 32,823.72, 49,242.93 and 9,448.35

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Solution

The fourth proportional to 32,823.72, 49,242.93 and 9,448.35 is: 14,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823.72 : 49,242.93 = 9,448.35 : x
  2. Step 2: Convert to fraction form
    32,823.72/49,242.93 = 9,448.35/x
  3. Step 3: Cross multiply
    32,823.72x = 49,242.93 × 9,448.35
  4. Step 4: Simplify right side
    32,823.72x = 465,264,437.67
  5. Step 5: Solve for x
    x = 465,264,437.67/32,823.72
  6. Step 6: Final answer
    x = 14,174.64

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1.5x scale

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.