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Finding the Fourth Proportional to 52,470, 78,707.16 and 15,534

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Solution

The fourth proportional to 52,470, 78,707.16 and 15,534 is: 23,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,470 : 78,707.16 = 15,534 : x
  2. Step 2: Convert to fraction form
    52,470/78,707.16 = 15,534/x
  3. Step 3: Cross multiply
    52,470x = 78,707.16 × 15,534
  4. Step 4: Simplify right side
    52,470x = 1,222,637,023.44
  5. Step 5: Solve for x
    x = 1,222,637,023.44/52,470
  6. Step 6: Final answer
    x = 23,301.64

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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.