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Finding the Fourth Proportional to 86,528, 119,408.64 and 46,784

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Solution

The fourth proportional to 86,528, 119,408.64 and 46,784 is: 64,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,528 : 119,408.64 = 46,784 : x
  2. Step 2: Convert to fraction form
    86,528/119,408.64 = 46,784/x
  3. Step 3: Cross multiply
    86,528x = 119,408.64 × 46,784
  4. Step 4: Simplify right side
    86,528x = 5,586,413,813.76
  5. Step 5: Solve for x
    x = 5,586,413,813.76/86,528
  6. Step 6: Final answer
    x = 64,561.92

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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.