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Finding the Fourth Proportional to 32,657.42, 48,985.10 and 9,283.86

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Solution

The fourth proportional to 32,657.42, 48,985.10 and 9,283.86 is: 13,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.42 : 48,985.10 = 9,283.86 : x
  2. Step 2: Convert to fraction form
    32,657.42/48,985.10 = 9,283.86/x
  3. Step 3: Cross multiply
    32,657.42x = 48,985.10 × 9,283.86
  4. Step 4: Simplify right side
    32,657.42x = 454,770,810.49
  5. Step 5: Solve for x
    x = 454,770,810.49/32,657.42
  6. Step 6: Final answer
    x = 13,925.50

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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.