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Finding the Fourth Proportional to 35,531.84, 53,288.47 and 10,565.16

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Solution

The fourth proportional to 35,531.84, 53,288.47 and 10,565.16 is: 15,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,531.84 : 53,288.47 = 10,565.16 : x
  2. Step 2: Convert to fraction form
    35,531.84/53,288.47 = 10,565.16/x
  3. Step 3: Cross multiply
    35,531.84x = 53,288.47 × 10,565.16
  4. Step 4: Simplify right side
    35,531.84x = 563,001,211.71
  5. Step 5: Solve for x
    x = 563,001,211.71/35,531.84
  6. Step 6: Final answer
    x = 15,844.98

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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.