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Finding the Fourth Proportional to 72,176.86, 99,602.31 and 40,349.50

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Solution

The fourth proportional to 72,176.86, 99,602.31 and 40,349.50 is: 55,681.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,176.86 : 99,602.31 = 40,349.50 : x
  2. Step 2: Convert to fraction form
    72,176.86/99,602.31 = 40,349.50/x
  3. Step 3: Cross multiply
    72,176.86x = 99,602.31 × 40,349.50
  4. Step 4: Simplify right side
    72,176.86x = 4,018,903,407.35
  5. Step 5: Solve for x
    x = 4,018,903,407.35/72,176.86
  6. Step 6: Final answer
    x = 55,681.33

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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.