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Finding the Fourth Proportional to 92,235.87, 138,041.06 and 56,719.50

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Solution

The fourth proportional to 92,235.87, 138,041.06 and 56,719.50 is: 84,886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,235.87 : 138,041.06 = 56,719.50 : x
  2. Step 2: Convert to fraction form
    92,235.87/138,041.06 = 56,719.50/x
  3. Step 3: Cross multiply
    92,235.87x = 138,041.06 × 56,719.50
  4. Step 4: Simplify right side
    92,235.87x = 7,829,619,902.67
  5. Step 5: Solve for x
    x = 7,829,619,902.67/92,235.87
  6. Step 6: Final answer
    x = 84,886.93

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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.