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Finding the Fourth Proportional to 56,089, 77,402.98 and 30,938.28

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Solution

The fourth proportional to 56,089, 77,402.98 and 30,938.28 is: 42,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,089 : 77,402.98 = 30,938.28 : x
  2. Step 2: Convert to fraction form
    56,089/77,402.98 = 30,938.28/x
  3. Step 3: Cross multiply
    56,089x = 77,402.98 × 30,938.28
  4. Step 4: Simplify right side
    56,089x = 2,394,715,068.07
  5. Step 5: Solve for x
    x = 2,394,715,068.07/56,089
  6. Step 6: Final answer
    x = 42,694.91

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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.