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Finding the Fourth Proportional to 35,730, 53,619.57 and 12,356.46

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Solution

The fourth proportional to 35,730, 53,619.57 and 12,356.46 is: 18,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,730 : 53,619.57 = 12,356.46 : x
  2. Step 2: Convert to fraction form
    35,730/53,619.57 = 12,356.46/x
  3. Step 3: Cross multiply
    35,730x = 53,619.57 × 12,356.46
  4. Step 4: Simplify right side
    35,730x = 662,548,071.92
  5. Step 5: Solve for x
    x = 662,548,071.92/35,730
  6. Step 6: Final answer
    x = 18,543.19

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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.