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Finding the Fourth Proportional to 78,646, 108,530.90 and 42,835.90

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Solution

The fourth proportional to 78,646, 108,530.90 and 42,835.90 is: 59,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,646 : 108,530.90 = 42,835.90 : x
  2. Step 2: Convert to fraction form
    78,646/108,530.90 = 42,835.90/x
  3. Step 3: Cross multiply
    78,646x = 108,530.90 × 42,835.90
  4. Step 4: Simplify right side
    78,646x = 4,649,018,779.31
  5. Step 5: Solve for x
    x = 4,649,018,779.31/78,646
  6. Step 6: Final answer
    x = 59,113.23

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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.