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Finding the Fourth Proportional to 52,332.24, 78,480 and 17,262.48

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Solution

The fourth proportional to 52,332.24, 78,480 and 17,262.48 is: 25,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,332.24 : 78,480 = 17,262.48 : x
  2. Step 2: Convert to fraction form
    52,332.24/78,480 = 17,262.48/x
  3. Step 3: Cross multiply
    52,332.24x = 78,480 × 17,262.48
  4. Step 4: Simplify right side
    52,332.24x = 1,354,759,430.40
  5. Step 5: Solve for x
    x = 1,354,759,430.40/52,332.24
  6. Step 6: Final answer
    x = 25,887.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.