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Finding the Fourth Proportional to 38,070.47, 52,533.63 and 22,753.98

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Solution

The fourth proportional to 38,070.47, 52,533.63 and 22,753.98 is: 31,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,070.47 : 52,533.63 = 22,753.98 : x
  2. Step 2: Convert to fraction form
    38,070.47/52,533.63 = 22,753.98/x
  3. Step 3: Cross multiply
    38,070.47x = 52,533.63 × 22,753.98
  4. Step 4: Simplify right side
    38,070.47x = 1,195,349,166.35
  5. Step 5: Solve for x
    x = 1,195,349,166.35/38,070.47
  6. Step 6: Final answer
    x = 31,398.33

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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.