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Finding the Fourth Proportional to 58,648.16, 87,971 and 14,275.16

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Solution

The fourth proportional to 58,648.16, 87,971 and 14,275.16 is: 21,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,648.16 : 87,971 = 14,275.16 : x
  2. Step 2: Convert to fraction form
    58,648.16/87,971 = 14,275.16/x
  3. Step 3: Cross multiply
    58,648.16x = 87,971 × 14,275.16
  4. Step 4: Simplify right side
    58,648.16x = 1,255,800,100.36
  5. Step 5: Solve for x
    x = 1,255,800,100.36/58,648.16
  6. Step 6: Final answer
    x = 21,412.44

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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.