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Finding the Fourth Proportional to 32,378.48, 48,567.80 and 9,004.92

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Solution

The fourth proportional to 32,378.48, 48,567.80 and 9,004.92 is: 13,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.48 : 48,567.80 = 9,004.92 : x
  2. Step 2: Convert to fraction form
    32,378.48/48,567.80 = 9,004.92/x
  3. Step 3: Cross multiply
    32,378.48x = 48,567.80 × 9,004.92
  4. Step 4: Simplify right side
    32,378.48x = 437,349,153.58
  5. Step 5: Solve for x
    x = 437,349,153.58/32,378.48
  6. Step 6: Final answer
    x = 13,507.40

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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.