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Finding the Fourth Proportional to 102,508.57, 153,618.35 and 48,415.59

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Solution

The fourth proportional to 102,508.57, 153,618.35 and 48,415.59 is: 72,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,508.57 : 153,618.35 = 48,415.59 : x
  2. Step 2: Convert to fraction form
    102,508.57/153,618.35 = 48,415.59/x
  3. Step 3: Cross multiply
    102,508.57x = 153,618.35 × 48,415.59
  4. Step 4: Simplify right side
    102,508.57x = 7,437,523,050.08
  5. Step 5: Solve for x
    x = 7,437,523,050.08/102,508.57
  6. Step 6: Final answer
    x = 72,555.13

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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.