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Finding the Fourth Proportional to 32,045.98, 48,045.88 and 12,052.40

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Solution

The fourth proportional to 32,045.98, 48,045.88 and 12,052.40 is: 18,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,045.98 : 48,045.88 = 12,052.40 : x
  2. Step 2: Convert to fraction form
    32,045.98/48,045.88 = 12,052.40/x
  3. Step 3: Cross multiply
    32,045.98x = 48,045.88 × 12,052.40
  4. Step 4: Simplify right side
    32,045.98x = 579,068,164.11
  5. Step 5: Solve for x
    x = 579,068,164.11/32,045.98
  6. Step 6: Final answer
    x = 18,069.92

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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.