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Finding the Fourth Proportional to 64,535.42, 96,802.88 and 42,343.44

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Solution

The fourth proportional to 64,535.42, 96,802.88 and 42,343.44 is: 63,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,535.42 : 96,802.88 = 42,343.44 : x
  2. Step 2: Convert to fraction form
    64,535.42/96,802.88 = 42,343.44/x
  3. Step 3: Cross multiply
    64,535.42x = 96,802.88 × 42,343.44
  4. Step 4: Simplify right side
    64,535.42x = 4,098,966,941.11
  5. Step 5: Solve for x
    x = 4,098,966,941.11/64,535.42
  6. Step 6: Final answer
    x = 63,515.00

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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.