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Finding the Fourth Proportional to 32,384.40, 48,547.80 and 12,658.48

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Solution

The fourth proportional to 32,384.40, 48,547.80 and 12,658.48 is: 18,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.40 : 48,547.80 = 12,658.48 : x
  2. Step 2: Convert to fraction form
    32,384.40/48,547.80 = 12,658.48/x
  3. Step 3: Cross multiply
    32,384.40x = 48,547.80 × 12,658.48
  4. Step 4: Simplify right side
    32,384.40x = 614,541,355.34
  5. Step 5: Solve for x
    x = 614,541,355.34/32,384.40
  6. Step 6: Final answer
    x = 18,976.46

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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.