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Finding the Fourth Proportional to 23,152.84, 32,013.03 and 22,088.50

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Solution

The fourth proportional to 23,152.84, 32,013.03 and 22,088.50 is: 30,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.84 : 32,013.03 = 22,088.50 : x
  2. Step 2: Convert to fraction form
    23,152.84/32,013.03 = 22,088.50/x
  3. Step 3: Cross multiply
    23,152.84x = 32,013.03 × 22,088.50
  4. Step 4: Simplify right side
    23,152.84x = 707,119,813.16
  5. Step 5: Solve for x
    x = 707,119,813.16/23,152.84
  6. Step 6: Final answer
    x = 30,541.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.