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Finding the Fourth Proportional to 52,095.63, 71,892 and 28,222.40

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Solution

The fourth proportional to 52,095.63, 71,892 and 28,222.40 is: 38,946.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095.63 : 71,892 = 28,222.40 : x
  2. Step 2: Convert to fraction form
    52,095.63/71,892 = 28,222.40/x
  3. Step 3: Cross multiply
    52,095.63x = 71,892 × 28,222.40
  4. Step 4: Simplify right side
    52,095.63x = 2,028,964,421.34
  5. Step 5: Solve for x
    x = 2,028,964,421.34/52,095.63
  6. Step 6: Final answer
    x = 38,946.92

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1.5x scale

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.