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Finding the Fourth Proportional to 98,859.36, 136,437.36 and 56,424

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Solution

The fourth proportional to 98,859.36, 136,437.36 and 56,424 is: 77,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,859.36 : 136,437.36 = 56,424 : x
  2. Step 2: Convert to fraction form
    98,859.36/136,437.36 = 56,424/x
  3. Step 3: Cross multiply
    98,859.36x = 136,437.36 × 56,424
  4. Step 4: Simplify right side
    98,859.36x = 7,698,341,600.64
  5. Step 5: Solve for x
    x = 7,698,341,600.64/98,859.36
  6. Step 6: Final answer
    x = 77,871.65

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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.