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Finding the Fourth Proportional to 60,528, 83,528.64 and 34,032

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Solution

The fourth proportional to 60,528, 83,528.64 and 34,032 is: 46,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,528 : 83,528.64 = 34,032 : x
  2. Step 2: Convert to fraction form
    60,528/83,528.64 = 34,032/x
  3. Step 3: Cross multiply
    60,528x = 83,528.64 × 34,032
  4. Step 4: Simplify right side
    60,528x = 2,842,646,676.48
  5. Step 5: Solve for x
    x = 2,842,646,676.48/60,528
  6. Step 6: Final answer
    x = 46,964.16

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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.