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Finding the Fourth Proportional to 70,395.04, 97,144.16 and 38,564.16

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Solution

The fourth proportional to 70,395.04, 97,144.16 and 38,564.16 is: 53,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,395.04 : 97,144.16 = 38,564.16 : x
  2. Step 2: Convert to fraction form
    70,395.04/97,144.16 = 38,564.16/x
  3. Step 3: Cross multiply
    70,395.04x = 97,144.16 × 38,564.16
  4. Step 4: Simplify right side
    70,395.04x = 3,746,282,929.31
  5. Step 5: Solve for x
    x = 3,746,282,929.31/70,395.04
  6. Step 6: Final answer
    x = 53,218.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.