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Finding the Fourth Proportional to 47,547, 65,598.96 and 27,403.52

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Solution

The fourth proportional to 47,547, 65,598.96 and 27,403.52 is: 37,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,547 : 65,598.96 = 27,403.52 : x
  2. Step 2: Convert to fraction form
    47,547/65,598.96 = 27,403.52/x
  3. Step 3: Cross multiply
    47,547x = 65,598.96 × 27,403.52
  4. Step 4: Simplify right side
    47,547x = 1,797,642,187.11
  5. Step 5: Solve for x
    x = 1,797,642,187.11/47,547
  6. Step 6: Final answer
    x = 37,807.69

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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.