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Finding the Fourth Proportional to 52,356.48, 78,547.68 and 24,648

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Solution

The fourth proportional to 52,356.48, 78,547.68 and 24,648 is: 36,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,356.48 : 78,547.68 = 24,648 : x
  2. Step 2: Convert to fraction form
    52,356.48/78,547.68 = 24,648/x
  3. Step 3: Cross multiply
    52,356.48x = 78,547.68 × 24,648
  4. Step 4: Simplify right side
    52,356.48x = 1,936,043,216.64
  5. Step 5: Solve for x
    x = 1,936,043,216.64/52,356.48
  6. Step 6: Final answer
    x = 36,978.10

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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.