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Finding the Fourth Proportional to 53,403.95, 73,688.76 and 29,526

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Solution

The fourth proportional to 53,403.95, 73,688.76 and 29,526 is: 40,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,403.95 : 73,688.76 = 29,526 : x
  2. Step 2: Convert to fraction form
    53,403.95/73,688.76 = 29,526/x
  3. Step 3: Cross multiply
    53,403.95x = 73,688.76 × 29,526
  4. Step 4: Simplify right side
    53,403.95x = 2,175,734,327.76
  5. Step 5: Solve for x
    x = 2,175,734,327.76/53,403.95
  6. Step 6: Final answer
    x = 40,741.08

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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.