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Finding the Fourth Proportional to 30,702.50, 42,390.40 and 22,637.13

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Solution

The fourth proportional to 30,702.50, 42,390.40 and 22,637.13 is: 31,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.50 : 42,390.40 = 22,637.13 : x
  2. Step 2: Convert to fraction form
    30,702.50/42,390.40 = 22,637.13/x
  3. Step 3: Cross multiply
    30,702.50x = 42,390.40 × 22,637.13
  4. Step 4: Simplify right side
    30,702.50x = 959,596,995.55
  5. Step 5: Solve for x
    x = 959,596,995.55/30,702.50
  6. Step 6: Final answer
    x = 31,254.69

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