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Finding the Fourth Proportional to 52,265.77, 78,408.10 and 19,032.48

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Solution

The fourth proportional to 52,265.77, 78,408.10 and 19,032.48 is: 28,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,265.77 : 78,408.10 = 19,032.48 : x
  2. Step 2: Convert to fraction form
    52,265.77/78,408.10 = 19,032.48/x
  3. Step 3: Cross multiply
    52,265.77x = 78,408.10 × 19,032.48
  4. Step 4: Simplify right side
    52,265.77x = 1,492,300,547.51
  5. Step 5: Solve for x
    x = 1,492,300,547.51/52,265.77
  6. Step 6: Final answer
    x = 28,552.16

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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.