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Finding the Fourth Proportional to 75,818.61, 113,826.47 and 58,300.74

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Solution

The fourth proportional to 75,818.61, 113,826.47 and 58,300.74 is: 87,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,818.61 : 113,826.47 = 58,300.74 : x
  2. Step 2: Convert to fraction form
    75,818.61/113,826.47 = 58,300.74/x
  3. Step 3: Cross multiply
    75,818.61x = 113,826.47 × 58,300.74
  4. Step 4: Simplify right side
    75,818.61x = 6,636,167,141.08
  5. Step 5: Solve for x
    x = 6,636,167,141.08/75,818.61
  6. Step 6: Final answer
    x = 87,526.89

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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.