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Finding the Fourth Proportional to 52,352.16, 78,528.16 and 15,416.16

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Solution

The fourth proportional to 52,352.16, 78,528.16 and 15,416.16 is: 23,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,352.16 : 78,528.16 = 15,416.16 : x
  2. Step 2: Convert to fraction form
    52,352.16/78,528.16 = 15,416.16/x
  3. Step 3: Cross multiply
    52,352.16x = 78,528.16 × 15,416.16
  4. Step 4: Simplify right side
    52,352.16x = 1,210,602,679.07
  5. Step 5: Solve for x
    x = 1,210,602,679.07/52,352.16
  6. Step 6: Final answer
    x = 23,124.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.