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Finding the Fourth Proportional to 32,784.52, 49,178.94 and 9,411.16

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Solution

The fourth proportional to 32,784.52, 49,178.94 and 9,411.16 is: 14,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.52 : 49,178.94 = 9,411.16 : x
  2. Step 2: Convert to fraction form
    32,784.52/49,178.94 = 9,411.16/x
  3. Step 3: Cross multiply
    32,784.52x = 49,178.94 × 9,411.16
  4. Step 4: Simplify right side
    32,784.52x = 462,830,872.97
  5. Step 5: Solve for x
    x = 462,830,872.97/32,784.52
  6. Step 6: Final answer
    x = 14,117.36

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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.