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Finding the Fourth Proportional to 32,567.48, 48,818.40 and 12,838.40

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Solution

The fourth proportional to 32,567.48, 48,818.40 and 12,838.40 is: 19,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,567.48 : 48,818.40 = 12,838.40 : x
  2. Step 2: Convert to fraction form
    32,567.48/48,818.40 = 12,838.40/x
  3. Step 3: Cross multiply
    32,567.48x = 48,818.40 × 12,838.40
  4. Step 4: Simplify right side
    32,567.48x = 626,750,146.56
  5. Step 5: Solve for x
    x = 626,750,146.56/32,567.48
  6. Step 6: Final answer
    x = 19,244.66

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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.