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Finding the Fourth Proportional to 48,971.84, 67,590.52 and 27,752

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Solution

The fourth proportional to 48,971.84, 67,590.52 and 27,752 is: 38,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,971.84 : 67,590.52 = 27,752 : x
  2. Step 2: Convert to fraction form
    48,971.84/67,590.52 = 27,752/x
  3. Step 3: Cross multiply
    48,971.84x = 67,590.52 × 27,752
  4. Step 4: Simplify right side
    48,971.84x = 1,875,772,111.04
  5. Step 5: Solve for x
    x = 1,875,772,111.04/48,971.84
  6. Step 6: Final answer
    x = 38,303.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.