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Finding the Fourth Proportional to 72,897.48, 109,252.35 and 35,384.97

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Solution

The fourth proportional to 72,897.48, 109,252.35 and 35,384.97 is: 53,031.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,897.48 : 109,252.35 = 35,384.97 : x
  2. Step 2: Convert to fraction form
    72,897.48/109,252.35 = 35,384.97/x
  3. Step 3: Cross multiply
    72,897.48x = 109,252.35 × 35,384.97
  4. Step 4: Simplify right side
    72,897.48x = 3,865,891,127.18
  5. Step 5: Solve for x
    x = 3,865,891,127.18/72,897.48
  6. Step 6: Final answer
    x = 53,031.89

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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.