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Finding the Fourth Proportional to 56,543.84, 84,802.80 and 25,388

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Solution

The fourth proportional to 56,543.84, 84,802.80 and 25,388 is: 38,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,543.84 : 84,802.80 = 25,388 : x
  2. Step 2: Convert to fraction form
    56,543.84/84,802.80 = 25,388/x
  3. Step 3: Cross multiply
    56,543.84x = 84,802.80 × 25,388
  4. Step 4: Simplify right side
    56,543.84x = 2,152,973,486.40
  5. Step 5: Solve for x
    x = 2,152,973,486.40/56,543.84
  6. Step 6: Final answer
    x = 38,076.18

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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.