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Finding the Fourth Proportional to 32,533.80, 48,801.54 and 9,160.08

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Solution

The fourth proportional to 32,533.80, 48,801.54 and 9,160.08 is: 13,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533.80 : 48,801.54 = 9,160.08 : x
  2. Step 2: Convert to fraction form
    32,533.80/48,801.54 = 9,160.08/x
  3. Step 3: Cross multiply
    32,533.80x = 48,801.54 × 9,160.08
  4. Step 4: Simplify right side
    32,533.80x = 447,026,010.52
  5. Step 5: Solve for x
    x = 447,026,010.52/32,533.80
  6. Step 6: Final answer
    x = 13,740.36

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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.