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Finding the Fourth Proportional to 52,624, 78,949.68 and 15,688

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Solution

The fourth proportional to 52,624, 78,949.68 and 15,688 is: 23,536.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,624 : 78,949.68 = 15,688 : x
  2. Step 2: Convert to fraction form
    52,624/78,949.68 = 15,688/x
  3. Step 3: Cross multiply
    52,624x = 78,949.68 × 15,688
  4. Step 4: Simplify right side
    52,624x = 1,238,562,579.84
  5. Step 5: Solve for x
    x = 1,238,562,579.84/52,624
  6. Step 6: Final answer
    x = 23,536.08

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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.