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Finding the Fourth Proportional to 52,347, 78,534.90 and 15,411

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Solution

The fourth proportional to 52,347, 78,534.90 and 15,411 is: 23,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,347 : 78,534.90 = 15,411 : x
  2. Step 2: Convert to fraction form
    52,347/78,534.90 = 15,411/x
  3. Step 3: Cross multiply
    52,347x = 78,534.90 × 15,411
  4. Step 4: Simplify right side
    52,347x = 1,210,301,343.90
  5. Step 5: Solve for x
    x = 1,210,301,343.90/52,347
  6. Step 6: Final answer
    x = 23,120.74

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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.