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Finding the Fourth Proportional to 32,946.68, 49,424.84 and 9,570.08

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Solution

The fourth proportional to 32,946.68, 49,424.84 and 9,570.08 is: 14,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,946.68 : 49,424.84 = 9,570.08 : x
  2. Step 2: Convert to fraction form
    32,946.68/49,424.84 = 9,570.08/x
  3. Step 3: Cross multiply
    32,946.68x = 49,424.84 × 9,570.08
  4. Step 4: Simplify right side
    32,946.68x = 472,999,672.79
  5. Step 5: Solve for x
    x = 472,999,672.79/32,946.68
  6. Step 6: Final answer
    x = 14,356.52

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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.