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Finding the Fourth Proportional to 101,457, 152,275.32 and 48,214.44

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Solution

The fourth proportional to 101,457, 152,275.32 and 48,214.44 is: 72,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,457 : 152,275.32 = 48,214.44 : x
  2. Step 2: Convert to fraction form
    101,457/152,275.32 = 48,214.44/x
  3. Step 3: Cross multiply
    101,457x = 152,275.32 × 48,214.44
  4. Step 4: Simplify right side
    101,457x = 7,341,869,279.62
  5. Step 5: Solve for x
    x = 7,341,869,279.62/101,457
  6. Step 6: Final answer
    x = 72,364.34

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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.