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Finding the Fourth Proportional to 61,125.32, 91,669.31 and 42,271.16

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Solution

The fourth proportional to 61,125.32, 91,669.31 and 42,271.16 is: 63,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,125.32 : 91,669.31 = 42,271.16 : x
  2. Step 2: Convert to fraction form
    61,125.32/91,669.31 = 42,271.16/x
  3. Step 3: Cross multiply
    61,125.32x = 91,669.31 × 42,271.16
  4. Step 4: Simplify right side
    61,125.32x = 3,874,967,400.40
  5. Step 5: Solve for x
    x = 3,874,967,400.40/61,125.32
  6. Step 6: Final answer
    x = 63,393.82

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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.