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Finding the Fourth Proportional to 58,032.32, 86,931.84 and 30,272

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Solution

The fourth proportional to 58,032.32, 86,931.84 and 30,272 is: 45,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,032.32 : 86,931.84 = 30,272 : x
  2. Step 2: Convert to fraction form
    58,032.32/86,931.84 = 30,272/x
  3. Step 3: Cross multiply
    58,032.32x = 86,931.84 × 30,272
  4. Step 4: Simplify right side
    58,032.32x = 2,631,600,660.48
  5. Step 5: Solve for x
    x = 2,631,600,660.48/58,032.32
  6. Step 6: Final answer
    x = 45,347.16

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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.