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Finding the Fourth Proportional to 56,536.84, 78,024.90 and 31,386.16

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Solution

The fourth proportional to 56,536.84, 78,024.90 and 31,386.16 is: 43,315.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,536.84 : 78,024.90 = 31,386.16 : x
  2. Step 2: Convert to fraction form
    56,536.84/78,024.90 = 31,386.16/x
  3. Step 3: Cross multiply
    56,536.84x = 78,024.90 × 31,386.16
  4. Step 4: Simplify right side
    56,536.84x = 2,448,901,995.38
  5. Step 5: Solve for x
    x = 2,448,901,995.38/56,536.84
  6. Step 6: Final answer
    x = 43,315.16

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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.