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Finding the Fourth Proportional to 74,577.83, 102,894.20 and 42,307.12

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Solution

The fourth proportional to 74,577.83, 102,894.20 and 42,307.12 is: 58,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,577.83 : 102,894.20 = 42,307.12 : x
  2. Step 2: Convert to fraction form
    74,577.83/102,894.20 = 42,307.12/x
  3. Step 3: Cross multiply
    74,577.83x = 102,894.20 × 42,307.12
  4. Step 4: Simplify right side
    74,577.83x = 4,353,156,752.23
  5. Step 5: Solve for x
    x = 4,353,156,752.23/74,577.83
  6. Step 6: Final answer
    x = 58,370.65

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